References

[1] V. A. Abdul-Halim and W. A. Al-Salam[1], A characterization of the

Laguerre polynomials, Rend. del Seminario Mat., Univ. Padova, 34(1964), 176–179.

[2] N. Abramescu[1], Sulle serie di polinomi di una variable complessa.

Le serie di Darboux, Annali di Matematica, 31 (1922), 207–249.

[3] M. Abramowitz and I. A. Stegun[1], Handbook of Math. Functions.,Dover, N.Y., 1970, k .

[4] J. Aczel[1], Eine Bemerkung uber die Charakterisierung der

,,klassischen” orthogonalen Polynome, Acta Math. Acad. Sci. Hung.4 (1953), 315–321, kl .

[5] J. Aczel[2], Sur l’equation differentielle des polynomes orthogonauxclassiques, Ann. Univ. Sci. Budapest, Sectio Math. 2 (1959), 27–29,

kl .

[6] R. P. Agarwal and G. V. Milovanovic[1], A characterization of theclassical orthogonal polynomials, Progress in Approximation Theory

Nevai and Pinkus eds., AP, N.Y. (1991), 1–4, kl-pi .

[7] N. I. Ahiezer[1], Orthogonal Polynomials on Several Intervals, SovietMath Doklady 1 (1960), 989–992, kl .

[8] J. Alaya and P. Maroni[1], Symmetric Laguerre-Hahn Forms of class

s = 1, Integral Transforms and Special Functions 4(4) (1996), 301–320, .

[9] V. Aldaya, J. Bisquert, and J. Navarro-Salas[1], The quantum rel-ativistic harmonic oscillator: generalized Hermite polynomials, J.

Phys. Lett. A 156 (1991), 381–385, k .

[10] M. Alfaro, A. Branquinho, F. Marcellan, and J. Petronilho[1], Ageneralization of a theorem of S. Bochner, preprint, kl .

[11] M. Alfaro, G. Lopez, and M. L. Rezola[1], Some properties of zeros

of Sobolev-type orthogonal polynomials, J. Comp. Appl. Math., toappear, kl-so,zo .

[12] M. Alfaro and F. Marcellan [1], Caratheodory functions and or-thogonalpolynomials on the unit circle, Publicaciones del Seminario

Matematico Garcia de Galdeano Serie II (1996).

[13] G. M. Alfaro, F. Marcellan, H. G. Meijer, and M. L. Rezola[1],Symmetric orthogonal polynomials for Sobolev-type inner products,

J. Math. Anal. Appl. 184(2) (1994), 360–381, kl-so .

1

[14] M. Alfaro, F. Marcellan, and M. L. Rezola[1], Estimates for Jacobi-Sobolev Type Orthogonal Polynomials, ?? (1996), kl .

[15] G. M. Alfaro, F. Marcellan, M. L. Rezola, and A. Ronveaux[1], Onorthogonal polynomials of Sobolev type : Algebraic properties and

zeros, SIAM J. Math. Anal. 23 (3) (1992), 737–757, kl-so,zo .

[16] G. M. Alfaro, F. Marcellan, M. L. Rezola, and A. Ronveaux[2],Sobolev-type orthogonal polynomials : The non-diagonal case, J. Ap-

prox. Theory 83 (1995), 266–287, kl-so .

[17] G. M. Alfaro, M. L. Rezola, T. E. Perez, and M. A. Pinar[1], Sobolev-

type orthogonal polynomials : The discrete-continuous case, Preprint,r-so .

[18] W. R. Allaway[1],On finding the distribution function for an orthog-onal polynomial set, Pacific J. of Math. 49(2) (1973), 305–310, k .

[19] W. R. Allaway[2], Convolution orthogonality and the Jacobi polyno-

mials, Canad. Math. Bull 32(3) (1989), 298–308, kl .

[20] W. R. Allaway[3], Orthogonality preserving maps and the Laguerre

functional, Proc. Amer. Math. Soc. 100 (1987), 82–86, kl .

[21] B. K. Alpert[1], Higher-order quadratures for integral operators with

singular kernels, J. Comp. Appl. Math. 60 (1995), 367–378, l .

[22] N. A. Al-Salam[1], Orthogonal polynomials of hypergeometric type,Duke Math. J. 33 (1966), 109–121, k .

[23] N. A. Al-Salam and W. A. Al-Salam[1], Some characterizations ofultraspherical polynomials, Canad. Math. Bull. 11 (1968), 457–464,

k .

[24] N. A. Al-Salam and M. E. H. Ismail[1], On Sieved Orthogonal Poly-

nomials. VIII. Sieved Associated Pollaczek Polynomials, J. Approx.Th. 68 (1992), 306–321, k .

[25] W. A. Al-Salam[1], The Bessel Polynomials, Duke Math. J. 24

(1957), 529–545, kl .

[26] W. A. Al-Salam[2], On a characterization of some orthogonal func-

tions, M.A.A. Monthly 64 (1957), 29–32, kl .

[27] W. A. Al-Salam[3], On a characterization of orthogonality, Math.

Mag. 31 (1957), 41–44.

[28] W. A. Al-Salam[4], On a characterization of a certain set of orthog-

onal polynomials, Boll. Unione Mat. Ital. 19 (1964), 448–450, k .

2

[29] W. A. Al-Salam[5], Characterizations of certain classes of orthogonalpolynomials related to elliptic functions, Annali di Mate. Pura ed

Appl. LXVII (1965), 75–94, k .

[30] W. A. Al-Salam[6], On a characterization of Meixner’s polynomials,

Quart. J. of Math. 17 (1966), 7–10, k-do .

[31] W. A. Al-Salam[7], Characterization theorems for orthogonal polyno-mials, Orthogonal Polynomials : Theory and Practice, P. Nevai Ed.

Nato ASI Series, vol. 294, Kluwer Acad. Dordrecht (1990), 1–24,kl .

[32] W. A. Al-Salam, W. R. Allaway, and R. Askey[1], A characterization

of the continuous q-ultraspherical polynomials, Canad. Math. Bull.27(3) (1984), 329–336, kl .

[33] W. A. Al-Salam, W. R. Allaway, and R. Askey[2], Sieved ultraspher-

ical polynomials, Trans. Amer. Math. Soc. 284 (1984), 39–55, k .

[34] W. A. Al-Salam and L. Carlitz[1],Bernoulli numbers and Bessel poly-

nomials, Duke Math. J. 26 (1959), 437–445, k .

[35] W. A. Al-Salam and L. Carlitz[2], Some orthogonal q-polynomials,Math. Nachr. 30 (1965), 47–61, k .

[36] W. A. Al-Salam and T. S. Chihara[1], Another characterization of

the classical orthogonal polynomials, SIAM J. Math. Anal. 3 (1972),65–70, kl .

[37] W. A. Al-Salam and T. S. Chihara[2], Convolutions of orthogonal

polynomials, SIAM J. Math. Anal. 7 (1976), 16–28, k .

[38] W. A. Al-Salam and T. S. Chihara[3], q-Pollaczek polynomials and a

conjecture of Andrews and Askey, SIAM J. Math. Anal. 18 (1987),228–242, kl-do .

[39] W. A. Al-Salam and M. E. H. Ismail[1], Orthogonal polynomials as-

sociated with the Rogers-Ramanujan continued fraction, Pacific J. ofMath. 104 (1983), 269–283, k .

[40] W. A. Al-Salam and M. E. H. Ismail[2], Polynomials Orthogonal with

Respect to Discrete Convolution, J. Math. Anal. Appl. 55 (1976),125–139, k-do .

[41] W. A. Al-Salam and A. Verma[1], Some orthogonality preserving op-

erators, Proc. Amer. Math. Soc. 23 (1969), 136–139, kl .

[42] W. A. Al-Salam and A. Verma[2], Orthogonality preserving operators

I , Rendiconti Acad. Naz dei Lincei LVIII (1975), 833–838.

3

[43] W. A. Al-Salam and A. Verma[3], Orthogonality preserving opertorsII , Rendiconti Acad. Naz. dei Lincei LIX (1976), 26–31.

[44] W. A. Al-Salam and A. Verma[4], On an orthogonal polynomial set,

Indag. Math. 44 (1982), 335–340, k .

[45] W. A. Al-Salam and A. Verma[5], Some sets of orthogonal polynomi-als, Rev. Tec. Ing., Univ. Zulia 9 (1986), 83–88.

[46] W. A. Al-Salam and A. Verma[6], On the Geronimus polynomialsets, Ortho. Polyno. and their appl., M. Alfaro et al Eds Segovia

1986 Spring-Verlag Lect. Notes Math., vol. 1329 (1988), 193–202, k .

[47] P. Althammer[1], Einer Erweiterung des Orthogonalitatsbegriffes beiPolynomen und deren Anwendung auf die beste Approximation, Doc-

toral Dissertation. Berlin (1961).

[48] P. Althammer[2], Eine Erweiterung des Orthogonalitatsbegriffes beiPolynomen und deren Anwendung auf die beste Approximation, J.

Reine Angew. Math. 211 (1962), 192–204.

[49] R. Alvarez, J. Arvesu, and F. Marcellan[1], A Generalization of the

Jacobi-Koornwinder Polynomials, Preprint, k .

[50] R. Alvarez, J. Arvesu, and F. Marcellan[2], Jacobi-Sobolev-Type Or-thogonal Polynomials:Second order Differential Equation and Zeros,Preprint, k-so .

[51] R. Alvarez and F. Marcellan[1], A generalizations of the classical

Laguerre polynomials, Rend. del Circolo Mate. di Palermo XLIV(1995), 315–329, kl .

[52] R. Alvarez and F. Marcellan[2], Difference Equations for Modifica-tions of Meixner Polynomials, J. Math. Anal. Appl. 194 (1995), 250–

258, kl-do .

[53] R. Alvarez and F. Marcellan[3], Limit Relations between Generalized

Orthogonal Polynomials, Indag. Math., to appear, k .

[54] R. Alvarez and F. Marcellan[4], A Generalization of the classical La-

guerre Polynomials: Asymptotic Properties and Zeros, ApplicableAnalysis, to appear, k-zo .

[55] R. Alvarez, A. G. Garcia, and F. Marcellan[1], On the properties formodifications of classical orthogonal polynomials of discrete variables,

J. Comp. Appl. Math., to appear, kl-do .

4

[56] R. Alvarez, F. Marcellan, and Petronilho[1], WKB Approximationand Krall-type orthogonal polynomials, preprint, k .

[57] G. E. Andrews and R. Askey[1], Classical Orthogonal Polynomials,

Polynomial Orthogonal et Appl. Proc. Laguerre Symp Bar-le-Duc,1984, Lect. Notes in Math. 1171 (1985), 36–62, k .

[58] A. I. Aptekarev, A. Branquinho, and F. Marcellan[1], Toda-type dif-ferential equations for the recurrence coefficients of orthogonal poly-

nomials and Freud transformation, J. Comp. Appl. Math. 78 (1997),

139–160, (r) .

[59] A. I. Aptekarev, V. S. Buyarov, Van Assche, and J. S. Dehesa[1],Asymptotics for entropy integrals of orthogonal polynomials, ????

(Russian), kl .

[60] A. I. Aptekarev, V. S. Buyarov, and J. S. Dehesa[1], Asymptotic

behavior of Lp-norms and entropy for general orthogonal polynomials,Mat. Sbornik (1995), 1–30, kl .

[61] A. I. Aptekarev, J. S. Dehesa, and R. J. Yanez[1], Spartial entropy of

central potentials and strong asymptotics of orthogonal polynomials,J. Math. Phys 35(9) (1994), 4423–4428, kl .

[62] A. I. Aptekarev, F. Marcellan, and G. Lopez[1], Orthogonal polynomi-als with respect to a differential operator. Existence and uniqueness,

J. Differential and Integral Equations, to appear, kl .

[63] A. I. Aptekarev, F. Marcellan, and I. A. Rocha[1], SemiclassicalMultiple Orthogonal Polynomials and the Properties of Jacobi-BesselPolynomials , J. Approx. Th. 90 No. 1 (1997), k .

[64] A. I. Aptekarev and E. M. Nikishin[1], The scattering problem for a

discrete Sturm-Liouville operator , Math. USSR Sbornik 49 No. 2(1984), 325–355, k .

[65] E. R. Arriola, A. Zarzo, and J. S. Dehesa[1], Spectral properties ofthe biconfluent Heun differential equation, J. Comp. Appl. Math. 37

(1991), 161–169, k .

[66] F. M. Arscott[1], Polynomial solutions of differential eequations withbi-orthogonal properties, Springer-Verlag, Lecture Notes 280, 202–

206, kl-bp .

[67] J. Arvesu, R. Alvarez-Nodarse, K. H. Kwon, and F. Marcellan[1],

Some extension of the Bessel-type orthogonal polynomials, preprint,k .

5

[68] and F. Marcellan[1] J. Arvesu, R. Alvarez-Nodarse, On a modificationof the Jacobi linear function:algebraic properties and zeros, submit-

ted, k .

[69] F. Marcellan J. Arvesu, R. Alvarez-Nodarse and K. Pan[1], Jacobi-

Sobolev-type orthogonal polynomials:Second-order differential equa-tion and zeros, J. Comp. Appl. Math. 90 (1998), 135–156, k .

[70] R. Askey[1], Eight lectures on orthogonal polynomials, Mathematisch

Centrum TC 51/70, Amsterdam, 1970.

[71] R. Askey[2], Linearization of the product of orthogonal polynomials,

??????, 131–138, kl .

[72] R. Askey[3], Ramanujan’s extensions of the gamma and beta func-

tions, MAA Monthly (1980), 346–359, kl .

[73] R. Askey[4], Divided difference operators and classical orthogonalpolynomilas, Rocky Mt. J. Math. 19 (1989), 33–37, k .

[74] R. Askey[5], Ramanujan and hypergeometric and basic hypergeomet-ric series, Russian Math. Surveys 45:1 (1990), 37–86, k .

[75] R. Askey[6], Relative extrema of Legendre functions of the secondkind, Proc. Indian Acad. Sci. 100(1) (1990), 1–8, k .

[76] R. Askey[7], Graphs as an aid to understanding special functions,in Asymptotics and Computational Analysis ed. R. Wong, MarcelDekker, N.Y. (1990), 3–33, k .

[77] R. Askey and D. T. Haimo[1], Similarities Between Fourier andPower Series, MAA Monthly 103 (1996), 297–304, k .

[78] R. Askey and J. Wimp[1], Associated Laguerre and Hermite polyno-mials, Proc. Roy. Soc. Edin. Sect. A 96 (1984), 15–37.

[79] R. Askey and J. Wilson[1],A Set of Hypergeometric Orthogonal Poly-nomials, SIAM J. Math. Anal. 13(4) (1982), 651–655, k .

[80] R. Askey, N. M. Atakishiyev, and S. K. Suslov[1], An Analog of the

Fourier Transformation for a q-Harmonic Oscillator, preprint, ????,k .

[81] W. Van Assche[1], The impact of Stieltjes’ work on continued frac-tions and orthogonal polynomials, ????, 1–30, kl .

[82] W. Van Assche[2], Norm Behaviour and Zero Distribution for Or-thogonal Polynomails with Nonsymmetric Weights, Constr. Approx.

5 (1989), 329–345, k .

6

[83] W. Van Assche[3], Weak convergence of orthogonal polynomials,Indag. Math. N.S. 6(1) (1995), 7–23, k .

[84] W. Van Assche[4], Pollaczek Polynomials and Summability Methods,Journal of Mathmatical Analysis and Application 147 (1990), 498–

505, k-do .

[85] W. Van Assche[5], Inverse Problems In the Theory of OrthogonalPolynomials, ??, kl .

[86] W. Van Assche[6], Direct Problems In the Thery of Orthogonal Poly-

nomials, ??, kl .

[87] W. Van Assche[7], Asymptotic Properties of Orthogonal Polynomialsfrom Their Recurrence Formula, I, J. Approx. Th. 44 (1985), 258–

276, kl .

[88] W. Van Assche[8], Asymptotic Properties of Orthogonal Polynomials

from Their Recurrence Formula, II, J. Approx. Th. 52 (1988), 322–338, kl .

[89] W. Van Assche and T. H. Koornwinder[1], Asymptotic Behaviour

for Wall polynomials and the Addition Formula for Little q-Legendrepolynomials, SIAM J. Math. Anal. 22 (1991), 302–311, k .

[90] W. Van Assche and A. P. Magnus[1], Sieved Orthogonal Polynomials

and Discrete Measures with Jumps Dense in an Interval, Proc. Amer.Math. Soc. 106 (1989), 163–173, k .

[91] N. M. Atakishiyev, R. Ronveaux, and K. B. Wolf[1], Difference equa-

tion for the associated polynomials on the linear lattice, preprint,kl-do .

[92] N. M. Atakishiyev, M. Rahman, and S. K. Suslov[1], On ClassicalOrthogonal Polynomials, Constr. Approx. 11 (1995), 181–226, k .

[93] N. M. Atakishiyev and S. K. Suslov[1], On the Askey-Wilson Poly-

nomials, Constr. Approx. 8 (1992), 363–369, kl .

[94] A. Athavale and S. Pedersen[1], Moment problems and subnormality,J. Math. Anal. Appl. 146 (1990), 434–441, kl-mp .

[95] F. V. Atkinson[1], Boundary problems leading to orthogonal polyno-mials in several variables, Bull. Amer. Math. Soc. 3 (1963), 345–351,k-sv .

[96] F. V. Atkinson and W. N. Everitt[1], Orthogonal polynomials whichsatisfy second order Differential Equations, E.B. Christoffel Symp.

Ed. P. L. Butzer and F. Feher (1981), 173–181, k .

7

[97] F. V. Atkinson, W. N. Everitt, and A. Zettl[1], Regularization of aSturm-Liouville Problem with an Interior Singularity Using Quasi-

Derivatives, Differential and Integral Equations 1 (1988), 213–221,k-sa .

[98] A. L. W. von Bachhaus[1], The 2nd-order differential equations for

orthogonal polynomials, Rendiconti di Mathematica, Serie VII 13,Roma (1993), 635–640, k .

[99] A. L. W. von Bachhaus[2], Differential recurrence formulae for or-thogonal polynomials, LE MATHEMATICHE L (1995), 47–56, k .

[100] A. L. W. von Bachhaus[3], The orthogonal polynomials generated by

g(2xt−t2) =∑∞

n=0 λnPn(x)tn, Rendiconti di Mathematica, SerieVII

15, Roma (1995), 79–88, k .

[101] A. L. W. von Bachhaus[4], The differential equations of orthog-onal polynomials having the recurrence formula gn(x)Y

′n(x) =

fn(x)Yn(x) + Yn−1(x), preprint, kl .

[102] A. L. W. von Bachhaus[5], The Differential Equations of the Classi-cal Orthogonal Polynomials Derived from Recurrence Formulae, ???,

k .

[103] M. Bachene[1], Les polynomes semi-classiques de classe zero et de

classe un, These de trolsieme cycle, Univ. P. et M. Curie, Paris,1985.

[104] V. M. Badkov[1], Convergence in The Mean and Almost Every-

where of Fourier Series in Polynomials Orthogonal on an Interval,Math.USSR Sbornik 24(2) ((1974)), 223–256, kl .

[105] K. Balazs[1], On the Simultaneous Approximation of Derivatives byLagranges and Hermite Interpolation, Journal of Approxmation The-

ory 60 (1990), 231–244.

[106] E. Banielian and Karen Tatalian of Yerevan[1], Generalized Cheby-

shev Inequality for Some Classes of Distribution, Math.Nachr 169(1994), 89–96, pi .

[107] C. W. Barnes[1], Remarks on the Bessel polynomials, M.A.A.

Monthly (1973), 1034–1040, k .

[108] C. W. Barnes[2], On the coefficients of the three-term recurrence re-

lation satisfied by some polynomials, preprint, k .

8

[109] D. Barrios, G. Lopez, and E. Torrano[1], Location of Zeros andAsymptotics of Polynomials Satisfying Three-Term Reccurence Rela-

tions with Complex Coefficients, Russian Acad. Sci. Sb. Math. 80(2)(1995), 309–333, k-zo,co .

[110] P. Barrucand and D. Dickinson[1], On Cubic Transfomations of Or-thogonal Polynomials, Proc. Amer. Math. Soc. 17 (1966), 810–814,

k .

[111] H. Bavinck[1], On polynomials orthogonal with respect to an innerproduct involving differences (The general case), TWI Report 91–55.

TU Delft. (1991), do .

[112] H. Bavinck[2], A direct approach to Koekoek’s differential equation for

generalized Laguerre polynomials, Acta Math. Hungar. 66(3) (1995),247–253, kl .

[113] H. Bavinck[3], A difference operator of infinite order with Sobolev-

type Charlier polynomials as eigenfunctions, Indag Math. 7(3)(1996), 281–291, kl-do .

[114] H. Bavinck[4], A new result for Laguerre polynomials, J. Phys.A:Math. Gen. 29 (1996), L277–L279, .

[115] H. Bavinck[5], Linear perturbations of differential or difference oper-

ators with polynomials as eigenfunctions, J. Comp. Appl. Math. 78(1997), 179–195, k .

[116] H. Bavinck[6], Addenda and Errata to ”Linear perturbations of dif-ferential or difference operators with polynomials as eigenfunctions”,

J. Comp. Appl. Math. 83 (1997), 145–146, k .

[117] H. Bavinck[7], Generalizations of Meixner polynomials which areeigenfunctions of a difference operator, Report 97-06, Delft Univ.of Tech. (1997), k .

[118] H. Bavinck[8], Differential operators having Laguerre type and

Sobolev type Laguerre orthogonal polynomials as eigenfunctions:a sur-vey, Report 97-07, Delft Univ. of Tech. (1997), k .

[119] H. Bavinck[9], Differential and difference operators having orthogo-nal polynomials with two liniear perturbations as eigenfunctions, J.

Comp. Appl. Math. 92 (1998), 82–95, k .

[120] H. Bavinck[10], On the sum of the coefficients of certain linear dif-ferential operators, J. Comp. Appl. Math. 89 (1998), 213–217, k .

9

[121] H. Bavinck and H. van Haeringen[1], Difference equations for general-ized Meixner polynomials, J. Math. Anal. Appl 184 (1994), 453–463,

kl-do .

[122] H. Bavinck and R. Koekoek[1], On a difference equation for general-izations of Charlier polynomials, J. Approx. Th. 81 (1995), 195–206,

kl-do .

[123] H. Bavinck and R. Koekoek[2], A differential equation for Sobolev-

type orthogonal polynomials, preprint, so .

[124] H. Bavinck and R. Koekoek[3], Difference operators with Sobolev-type Meixner polynomials as eigenfunctions, Reports of the Faculty

of Technical Math. and Informatics 96-07 (1996), k-do .

[125] H. Bavinck and H. G. Meijer[1], Orthogonal polynomials with respect

to a symmetric inner product involving derivatives, Appl. Anal. 33(1989), 103–117, so .

[126] H. Bavinck and H. G. Meijer[2], On orthogonal polynomials with re-

spect to an inner product involving derivatives : Zeros and recurrencerelations, Indag. Math., N. S. 1 (1990), 7–14, kl-so,zo .

[127] H. Bavinck and H. G. Meijer[3], On the zeros of orthogonals in a dis-crete Sobolev space with a symmetric inner product, preprint (1991),

so,zo .

[128] G. Baxter[1], A Convergence Equivalence Related to Polynomials Or-

thogonal On the Unit Circle, ??, 471–487, kl .

[129] F. S. Beale[1], On a certain class of orthogonal polynomials, Ann.

Math. Stat. 12 (1941), 97–103, k .

[130] R. J. Beerends[1], Chebyshev polynomials in several variables and theradial part of the Laplace-Beltrami operator, Trans. Amer. Math. Soc.

328 (1991), 779–814, k-sv .

[131] Driss Beghdadi and Pascal Maroni[1], On the inverse problem of the

product of a semi-classical form by a polynomial, J. Comp. Appl.Math. 88 (1997), 337–399, k .

[132] S. Belmehdi[1], On the associated Orthogonal Polynomials, J. Comp.

Appl. Math. 32 (1990), 311–319, kl .

[133] S. Belmehdi[2],On the left multiplication of a regular linear functional

by a polynomial, Ortho. Polyn. and their Appl., IMACS J.C. BaltzerAG (1991), 169–176, k .

10

[134] S. Belmehdi[3], On semi-classical linear functionals of class s = 1.Classification and integral representations, Indag. Math. N. S. 3(3)

(1992), 253–275, kl .

[135] S. Belmehdi and F. Marcellan[1], Orthogonal Polynomials Associatedwith Some Modifications of a Linear functional, Applicable Analysis

46 (1992), 1–24, k .

[136] S. Belmehdi and A. Ronveaux[1], Laguerre-Freud’s equations for therecurrence coefficients of semi-classical Orthogonal Polynomials, J.Approx. Th. 76 (1994), 351–368, kl .

[137] S. Belmehdi and A. Ronveaux[2], The fourth-order differential equa-

tion satisfied by the associated orthogonal polynomials, Rend. di Mate.Serie VII Vol.11, Roma (1991), 313–326, kl .

[138] S. Belmehdi and A. Ronveaux[3], On the coefficients of the three-

term recurrence relation satisfied by some orthogonal polynomials,preprint, kl .

[139] R. P. Bennell and J. C. Mason[1], Bivariate Orthognal Polyno-mial Approximation to Curves of Data, Orthogonal Polynomials and

their applications. C. Brezinski, L. Gori and A. Ronveaux(editors).J.C.Baltzer AG, Scientific Publishing Co, IMACS (1991), 177–183,

k-sv .

[140] H. Berens, H. J. Schmid, and Y. Xu[1], Multivariate Gaussian cuba-ture formulae, Arch. Math. 64 (1995), 26–32, kl-sv .

[141] C. Berg, J. P. R. Christensen, and C. U. Jensen[1], A remark onmultidimesional moment problem, Math. Ann. 243 (1979), 163–169,

k-mp,sv(r) .

[142] C. Berg and A. J. Duran[1], The index of determinacy for measures

and the �2-norm of orthonormal polynomials, preprint, kl .

[143] C. Berg and M. E. H. Ismail[1], q-Hermite Polynomials amd ClassicalOrthogonal Polynomials, Can. J. Math. 48(1) (1996), 43–63, k .

[144] D. Bertran[1], Note on orthogonal polynomials in v-variables, SIAMJ. Math. Anal. 6(2) (1975), 250–257, k-sv .

[145] D. Bessis[1], Ortogonal Polynomials, Pade Approximations and Julia

Sets, Nato ASI Series Vol. 294 Ed. P. Nevai (1990), 55–97, k .

[146] D. Bessis, J. S. Geronimo, and P. Moussa[1], Function weighted mea-sures and orthogonal polynomials on Julia sets, Constr. Approx. 4

(1988), 157–173, k .

11

[147] J. Blankenagel[1], Zur Charakterisierung von Orthogonalpolynomenin zwei Veranderlichen, Zeit. Agnew. Math. Mech. 59 (1979), 103–

110, k-sv .

[148] J. Blankenagel[2], Anwendungenadjungierter Polynomoperatoren,Doctoral Dissertation. Koln. 1971.

[149] H. P. Blatt[1], On the distribution of simple zeros of polynomials, J.Approx. Th. 69 (1992), 250–268, k-zo .

[150] T. Bloom and J. Calvi[1], A continuity property of multivariable La-grange interpolation, Math. Comp. 66 No. 220 (1997), 1561–1577,

k .

[151] R. P. Boas[1], The Stieltjes Moment Problem for functions of boundedvariation, Bull. Amer. Math. Soc. 45 (1939), 399–404, kl-mp .

[152] R. P. Boas and J. W. Tukey[1], A note on linear functionals, Bull.Amer. Math. Soc. 44 (1938), 523–528, k .

[153] S. Bochner[1], Uber Sturm-Liouvillesche Polynomsysteme, Math. Z.29 (1929), 730–736, kl .

[154] J. Bognar[1], Indefinite Inner Product Spaces, Springer-Verag, Berlin,

1974, k .

[155] B. D. Bojanov[1], An extension of the Markov inequality, J. Approx.

Th. 35 (1982), 181–190, kl-pi .

[156] B. D. Bojanov[2], On a quadrature formula of Micchelli and Rivlin,

J. Comp. Appl. Math. 70 (1996), 349–356, k-qf .

[157] B. Bojanov and G. Petrova[1], On minimal cubature formulae forproduct weight functions, J. Comp. Appl. Math. 85 (1997), 113–121,k .

[158] S. S. Bonan and D. S. Clark[1], Estimates of the Orthogonal Polyno-

mials with Weight exp(−xm), m an Even Positive Integer, J. Approx.Th. 46 (1986), 408–410, k .

[159] S. Bonan and P. Nevai[1], Orthogonal Polynomials and their deriva-tives, I, J. Approx. Th. 40 (1984), 134–147, kl .

[160] S. Bonan, D. S. Lubinsky, and P. Nevai[1], Orthogonal Polynomialsand their derivatives, II, SIAM J. Math. Anal. 18(4) (1987), 1163–

1176, kl .

[161] P. Borwein and T. Erdelyi[1],Markov and Bernstein type inequalitieson subsets of [−1, 1] and [−π, π], Acta Math. Hungar. 65(2) (1994),

189–194, kl-pi .

12

[162] P. Borwein and T. Erdelyi[2],Markov-Bernstein-Type Inequalities forClasses of Polynomials with Restricted Zeros, Constr. Approx. 10

(1994), 411–425, k-pi .

[163] P. Borwein and T. Erdelyi[3], Questions about polynomials with{0,−1,+1} coefficients: Reasearch problems 96-3, Constr. Approx.12 (1996), 439–442, k-zo .

[164] P. Borwein and T. Erdelyi[4], Newman’s inequality for Muntz poly-

nomials on positive intervals, J. Approx. Th. 85 (1996), 132–139,k-pi .

[165] L. Bos, N. Levenberg, P. Milman, and B. A. Taylor[1], Tangential

Markov inequalities characterize algebraic submanifolds of RN , Indi-ana Univ. Math. J. 44 (1995), 115–138, kl-pi .

[166] H. Bouakkaz and P. Maroni[1], Description des polynomes orthogo-naux de Laguerre-Hahn de classe zero, Ortho. Polyn. and their Appl.,

IMACS J.C. Baltzer AG (1991), 189–194, kl .

[167] A. Boukhemis[1], A Study of a Sequence of Classical Orthogonal Poly-nomials of Dimension 2, J. Approx. Th. 90 (1997), 435–454, k .

[168] A. Boukhemis and P. Maroni[1], Une caracterisation des polynomesstrictment 1/p orthogonaux de type Sheffer. Etude du cas p=2, J.

Approx. Th. 54 (1988), 67–91, kl .

[169] E. Boucher[1], Polemes orthogonaux par rapport a un produit Scalairede Type Sobolev, Memoire de Licence. Facultes Universitaires Notre

Dame de la Paix, Namur. 1993., so .

[170] J. P. Boyd[1], The orthogonal rational functions of Higgins and Chris-

tov and algebraically mapped Chebyshev polynomials, J. Approx. Th.61 (1990), 98–105, k .

[171] A. Branquinho[1], A note on semi-classical orthogonal polynomials,Bull. Belg. Math. Soc. 3 (1996), 1–12, kl .

[172] A. Branquinho and F. Marcellan[1], Some inverse problems for second

order structure relations, preprint (1991), kl .

[173] A. Branquinho and F. Marcellan[2], Generating new classes of or-thogonal polynomials, Intern. J. Math., to appear, kl .

[174] W. C. Brenke[1], On Polynomial solutions of a class of Linear Dif-ferential Equations of the second order, Bull. Amer. Math. Soc. 36

(1930), 77–84, k .

13

[175] W. C. Brenke[2], On generating functions of polynomial systems,Math. Asso. Amer. Monthly 52 (1945), 297–301, kl .

[176] J. Brenner[1], Uber eine Erweiterung des Orthogonalitatsbegriffes bei

Polynomen in einer und zwei Veranderlichen, Doctoral Dissertation.Stuttgart (1969).

[177] J. Brenner[2], Uber eine Erweiterung des Orthogonalitatsbegriffes beiPolynomen, in : G. Alexits amd S. B. Stechkin, Eds., Proc. Conf.

on the Constructive Theory of Functions (Approximation Theory),(Alademiai Kiado, Budapest, 1972) 77–83.

[178] C. Brenzinski[1], Rational approximation to formal power series, J.

Approx. Theory 25 (1979), 295–317, kl .

[179] C. Brenzinski[2], Error estimate in Pade approximation, Lect. Notes.

Math. 1329 (1988), 1–19, kl .

[180] C. Brenzinski[3], Procedures for estimating the error in Pade apprx-imation, Math. Comp. 53 (1989), 639–648, kl .

[181] C. Brenzinski[4], A direct proof of the Christoffel-Darboux identityand its equivalence to the recurrence relationship, J. Comp. Appl.

Math. 32 (1990), 17–25, kl .

[182] C. Brezinski[5], Ideas for further investigation on orthogonal polyno-mials and Pade approximants, kl .

[183] C. Brezinski[6], Formal orthogonality on an algebraic curve , Annalsof Numer. Math. 2 (1995), 21–33, k .

[184] C. Brezinski[7], On the zeros of various kinda of orthogonal polyno-

mials, Annals of Numer. Math. 4 (1997), 67–78, zo,k .

[185] C. Brezinski[8], Formal orthogonality on an algebraic curve, Ann.

Numer. Math. 2 (1995), 21–33, k .

[186] C. Brezinski and M. Redivo-Zaglia[1], On the zeros of various kindsof orthogonal polynomials, Ana. Numer. Math. 4 (1997), 67–78,k-zo .

[187] B. V. Bronk[1], Theorem Relating the Eigenvalue Density for Random

Matrices to the Zeros of the Classical Polynomials, J. Math. Phys. 5(1964), 1661–1663, k-zo .

[188] B. M. Brown, W. D. Evans, and L. L. Littlejohn[1], Orthogonal poly-nomials and extensions of Copson’s inequality, J. Comp. Appl. Math.

48 (1993), 33–48, k-pi .

14

[189] B. M. Brown, W. D. Evans, and L. L. Littlejohn[2], Discrete inequal-ities, orthogonal polynomials and the spectral theory of difference op-

erators, Proc. R. Soc. Lond. A 437 (1992), 355–373, k .

[190] B. M. Brown and M. Ismail[1], A Right Inverse of the Askey-WilsonOperator, Proc. Amer. Math. Soc. 123 (1995), 2071–2079, kl .

[191] M. G. de Bruin[1], Polynomials orthogonal on a circular arc, J. Comp.Appl. Math. 31 (1990), 253–266, kl-sz .

[192] M. G. de Bruin[2], A tool for locating zeros of orthogonal polynomials

in Sobolev inner product spaces, J. Comp. Appl. Math. 49 (1993),27–35, kl-so,zo .

[193] M. G. de Bruin and H. G. Meijer[1], Zeros of orthogonal polynomialsin a non-discrete Sobolev space, Annals of Numer. Math. 2 (1995),

233–246, k-so,zo .

[194] M. G. de Bruin, E. B. Saff, and R. S. Varga[1], On the zeros of

generalized Bessel polynomials I, Mathematics 84(1) (1981), 1–25,k-zo .

[195] K. J. Bruinsma, M. G. de Bruin, and H. G. Meijer[1], Zerosof Sobolev orthogonal polynomials following from coherent pairs,

preprint, so,zo .

[196] L. Brutman[1], On the Lebesgue Function for Polynomial Interpola-

tion, SIAM J. NUMER. ANAL. 15(4) (1978), 694–?, k .

[197] A. Di Bucchianico[1], Representation of Sheffer Polynomials, Studiesin Applied Mathematics 93 (1994), 1–14, k .

[198] E. Buendia, J. S. Dehesa, and M. A. Sanchez-Buendia[1], On thezeros of eigenfunctions of polynomial differential operators, J. Math.

Phys. 26(11) (1985), 2729–2736, k-zo .

[199] M. D. Buhmann and A. Iserles[1], On orthogonal polynomials trans-formed by the QR algorithm., J. Comp. Appl. Math. 43 (1992), 117–

134.

[200] M. D. Buhmann and T. J. Rivlin[1], A Gauss-Lucas Type Theorem

on the Location of the Roots of a Polynomial, J. Approx. Th. (1991),235–238, k-zo .

[201] J. Burkett and A. K. Varma[1], Extremal Properties of Derivative of

Algebraic Polynomials, Acta Math. Hungar. 64(4) (1994), 373–389,kl-pi .

15

[202] J. Bustoz, M. E. H. Ismail, and J. Wimp[1], On Sieved Orhogo-nal Polynomials VI: Differential Eqations, Differential and Integral

Equations 3(4) (1990), 757–766, k .

[203] A. Cachafeiro and F. Marcellan[1], Quadrature in Sobolev spaces, In

Proceedings 3rd Symposium in Orthogonal Polynomials and Appli-cations. Universidad Politecnia Madrid. (1989), 61–70, so,qd .

[204] A. Cachafeiro and F. Marcellan[2], The characterization of the quasi-typical extension of an inner product, J. Approx. Theory 62(2)

(1990), 235–242, kl-sz .

[205] A. Cachafeiro and F. Marcellan[3], Orthognal polynomials of Sobolev

type on the unit circle, J. Approx. Theory 78 (1994), 127–146,kl-sz,so .

[206] A. Cachafeiro and F. Marcellan[4], Orthogonal polynomials and jump

modifications, ???, 236–240, kl-sz .

[207] A. Cachafeiro and F. Marcellan[5], Polinomios Ortogonales y MedidasSingulares Sobre Curvas, XI Jornadas Mispano-Lusas de Matematica1 (1986), 128–139, kl .

[208] A. Cachafeiro and F. Marcellan[6], On some properties of orthogonalpolynomials related to a Sobolev-type inner product on the unit circle,

Ser. Math. Inform. 11 (1996), 67–78, k .

[209] A. Cachafeiro and C. Suarez[1], Orthogonal Polynomials related tothe Unit Circle and Differential-Difference Equations, ????, k-sz .

[210] A. Cachafeiro and C. Suarez[2], About semiclassical polynomials onthe unit circle corresponding to the class (2,2), J. Comp. Appl. Math.

85 (1997), 123–144, k .

[211] R. G. Campos[1], Some properties of the zeros of polynomial solutions

of Sturm-Liouville equations, SIAM J. Math. Anal. 18 (1987), 1664–1668, k-zo .

[212] R. G. Campos and L. A. Avila[1], Some properties of orthogonalpolynomials satisfying fourth order differential equations, Glasgow

Math. J. 37 (1995), 105–113, kl-zo .

[213] C. Canuto and A. Quarteroni[1], Proprietes d’approximation dans les

spaces de Sobolev de systemes de polynomes orthogonaux, C. R. Acad.Sci. Paris. Ser. A-B 290 (1980), A 925 – A 928.

[214] C. Canuto and A. Quarteroni[2], Approximation results for orthog-onal polynomials in Sobolev spaces, Math. Comp. 38 (1982), 67–86,

so .

16

[215] L. Carlitz[1], Note on Legendre polynomials, Bull. Calcutta Math.Soc. 46 (1954), 93–95.

[216] L. Carlitz[2], Some polynomials related to theta functions, Ann. Math.

Pura Appl. 41 (1956), 359–373.

[217] L. Carlitz[3], Characterization of certain sequences of orthogonal

polynomials, Portugaliae Math. 20 (1961), 43–46, k .

[218] L. Carlitz[4], Characterization of the Krawtchouk polinomials, Re-vista Math. Hisp-Amer. 21 (1961), 79–84, do .

[219] L. Carlitz[5], Characterization of the Laguerre polynomials,Monatscheft fur Math. 66 (1962), 389–392.

[220] L. Carlitz and H. M. Srivastava[1], Some new generating functions forthe Hermite polynomials, J. Math. Anal. Appl. 149 (1990), 513–520,

kl .

[221] K. M. Case[1], Sum rules for zeros of polynomials I, J. Math. Phys.21 (1980), 702–708, kl-zo .

[222] K. M. Case[2], Sum rules for zeros of polynomials. II, J. Math. Phys.21(4) (1980), 709–714, k .

[223] J. Charris and L. Gomez[1], On the Orthogonality Measure of theq-Pollaczek Polynomials, Revisita Colombiana de MatematicasXXI

(1987), 301–316, k .

[224] J. Charris and M. E. H. Ismail[1], On Sieved Orthogonal PolynomialsII: Random Walk Polynomials, Can. J. Math. XXXVIII(2) (1986),

397–415, k .

[225] S. K. Chatterjea and H. M. Srivastava[1], Operational Represen-

tations for the Classical Hermite Polynomials, Studies in AppliedMathematics 83 (1990), 319–328, k .

[226] Chaundy[1], Differential equations with polynomial solutions, Quart.J. Math. 20 (1949), 105–120.

[227] M. Chellali[1], Sur les zeros des polynomes de Bessel (II), C. R. Acad.

Sci. Paris, t. 307 Serie I 307 (1988), 547–550, k-zo .

[228] W. Chen[1], Some inequalities of algebraic polynomials with nonneg-

ative coefficients, Trans. Amer. Math. Soc. 347 (1995), 2161–2167,kl-pi .

[229] W. Chen[2], On the Polynomials with All Their Zeros on the UnitCircle, J. Math. Anal. Appl. 190 (1995), 714–724, kl-zo,sz .

17

[230] W. Chen[3], On the converse inequality of Markov type in L2 norm,J. Math. Anal. Appl. 200 (1996), 708–716, k-pi .

[231] W. Chen and M. E. H. Ismail[1], Ladder operator and differential

equations for orthogonal polynomials, preprint, k .

[232] Li-Chen Chen and M. E. H. Ismail[1], On Asymptotics of JacobiPolynomials, SIAM J. Math. Anal. 22 (1991), 1442–1449, k .

[233] Ming-Po Chen and H. M. Srivastava[1], Orthogonality Relations andGenerating Functions for Jacobi Polynomials and Related Hypergeo-

metric Functions, Applied Mathematics and Computation 68 (1995),153–188.

[234] L. M. Chihara[1], Askey-Wilson polynomials, Kernel poynomials andassociation schemes, Graphs and Combinatorics 9 (1993), 213–223,

kl .

[235] L. M. Chihara and D. Stanton[1], Zeros of generalized Krawtchoukpolynomials, J. Approx. Th. 60 (1990), 43–57, k-zo,do .

[236] T. S. Chihara[1], On quasi-orthogonal polynomials, Proc. Amer.Math. Soc. 8 (1957), 765–767, k .

[237] T. S. Chihara[2], On co-recursive orthogonal polynomials, Proc.Amer. Math. Soc. 8 (1957), 899–905, kl .

[238] T. S. Chihara[3], Nonlinear recurrence relations for classical orthog-

onal polynomials, Amer. Math. Monthly (1958), 195–197, kl .

[239] T. S. Chihara[4], Chain sequences and Orthogonal Polynomials,Trans. A.M.S. 104 (1962), 1–16, k .

[240] T. S. Chihara[5], On kernel polynomials and related systems, Boll.Unione Mat. Ital. 19 (1964), 451–459, k .

[241] T. S. Chihara[6], On recursively defined Orthogonal Polynomials,

Proc. Amer. Math. Soc. 16 (1965), 702–710, kl .

[242] T. S. Chihara[7], On indeterminate Hamburger moment problems,

Pacific J. Math. 27 (1968), 475–484, kl-mp .

[243] T. S. Chihara[8], Orthogonal polynomials with Brenke type generatingfunctions, Duke Math. J. 35 (1968), 505–517, k .

[244] T. S. Chihara[9], Orthogonal polynomials whose zeros are dense inintervals, J. Math. Anal. Appl. 24 (1968), 362–371, k-zo .

18

[245] T. S. Chihara[10], A characterization and a class of distribution func-tions for the Stieltjes-Wigert polynomials, Canad. Math. Bull. 13

(1970), 529–532, k .

[246] T. S. Chihara[11], The derived set of the spectrum of a distributionfunction, Pacific J. Math. 35 (1970), 571–574, k .

[247] T. S. Chihara[12], Orthogonality relations for a class of Brenke poly-nomials, Duke Math. J. 38 (1971), 599–603, k .

[248] T. S. Chihara[13], An introduction to Orthogonal Polynomilas, Gor-

don and Breach, New York, 1977, k .

[249] T. S. Chihara[14], On generalized Stieltjes-Wigert and related orthog-onal polynomials, J. Comp. Appl. Math. 5(4) (1979), 291–297, kl .

[250] T. S. Chihara[15], Orthogonal polynomials whose distribution func-tions having finite point spectra, SIAM J. Math. Anal. 11(2) (1980),

358–364, kl .

[251] T. S. Chihara[16], Orthogonal polynomials and measures with endpoint measses, Rocky Mt. J. Math. 15(3) (1985), 705–719, kl .

[252] T. S. Chihara[17], Hamburger Moment problems and OrthogonalPolynomials, Trans. Amer. Math Soc. 315(1) (1989), 189–203,

kl-mp .

[253] T. S. Chihara[18], The parameters of a chain sequence, Proc. Amer.

Math. Soc. 108 (1990), 775–780, kl .

[254] T. S. Chihara[19], Comparison Theorems for Hamburger Momentproblems, Orthogonal Polynomials and Their Applications, 3rd In-

ternational Symposium, Erice, Itlay (1990), 17–20, kl-mp .

[255] T. S. Chihara[20], The One-Quarter Class of Orthogonal Polynomi-

als, Rocky Mt. J. Math. 21(1) (1991), 121–137, k .

[256] T. S. Chihara and M. E. H. Ismail[1], Orthogonal polynomials sug-gested by queueing model, Adv. in Math. 3 (1982), 441–462, k .

[257] T. S. Chihara and P. G. Nevai[1], Orthogonal polynomials and Mea-sures with finitely many point masses, J. Approx. Theory 35 (1982),

370–380, kl .

[258] A. K. Chongdar[1], Some Generating Functions of Hrn(x, a, p)−The

Generalization of Hermite Polynomials, Tamkang Journal of Mathe-

matics 19(2) (1988), 49–51, k .

19

[259] E. B. Christoffel[1], Sur Une classe particuliere de fonctions entiereset de fractions continues, Ann. Mat. Pura Appl. Serie II 8 (1877),

1–10.

[260] S. K. Chun[1], On the Denseness of Equilibrium Measure, ÜÝò�$¸ 4@!|ÐUX ÁÔçÊØ�$Å 4 (1994), 33–45, k .

[261] S. Y. Chung[1], An interpolation of the Lagrange interpolation andthe newton interpolation, k .

[262] J. Y. Chung, S. Y. Chung, and D. H. Kim[1], Une caracterisation

de l’espace T de Schwartz, C. R. Acad. Sci. Paris 316 (1993), 23–25,kl .

[263] D. H. Kim S. Y. Chung and S. J. Lee[1], Characterization forBeurling-Bjorck space and schwartz space, Proc. A. M. S. 125 (1997),

3229–3234, k .

[264] I. Cioranescu[1], Moment sequences for ultradistributions, Math. Z.204 (1990), 391–400, kl-mp .

[265] E. A. Cohen[1], Zero distribution and behavior of orthogonal polyno-mials in the Sobolev space W 1,2[−1, 1], SIAM J. Math. Anal. 6(1)

(1975), 105–116, kl-so,zo .

[266] E. A. Cohen.JR[1], Theoretical Properties of best Polynomial Approx-

imation in W 1,2[−1, 1], SIAM J. Math. Anal. 2(2) (1971), 187–192,kl-so .

[267] W. C. Connett and A. L. Schwartz[1], Product formulas, hypergroups,

and the Jacobi’s polynomials, Bull. Amer. Math. Soc. 22(1) (1990),91–96, kl-hg .

[268] W. C. Connett and A. L. Schwartz[2], Continuous 2-variable polyno-mial hypergroups, Contemporary Mathematics 183 (1995), 89–109,

kl-hg .

[269] W. C. Connett and A. L. Schwartz[3], Subsets of R which supporthypergroups woth polynomial characters, J. Comp. Appl. Math. 65

(1995), 73–84, k .

[270] W. C. Connett and A. L. Schwartz[4], Hypergroups in Rn with poly-

nomial characters, preprint, k .

[271] S. C. Cooper, W. B. Jones, and W. J. Thron[1], Asymptotics of or-thogonal L-polynomials for log-normal distributions, Constr. Approx.

8 (1992), 59–67, kl .

20

[272] G. Criscuolo and G. Mastroianni[1], Lagrange Interpolation on Gen-eralized Jacobi Zeros with Additional Nodes, Acta Math. Hungar.

65(1) (1994), 27–49, kl-qd .

[273] G. Criscuolo, B. D. Vecchia, D. S. Lubinsky, and G. Mastroianni[1],Functions of the Second Kind for Freud Weights and Series Expan-

sions of Hilbert Transforms, J. Math. Anal. Appl. 189 (1995), 256–296, k .

[274] E. W. Cryer[1], Rodrigues’ formula and the classical orthogonal poly-nomials, Boll. Un. Mat. Ital. 25 (1970), 1–11, k .

[275] A. Csaszar[1], Sur les polynomes orthogonaux classiques, Ann. Univ.Sci. Budapest, Sect. Math. 1 (1958), 33–39, k .

[276] B. Curgus and H. Langer[1], A Krein Space Approach to Symmetric

Ordinary Differential Operators with an Indefinite Weight Function,Journal of Differential Equations 79 (1989), 31–61, kl-sa .

[277] R. E. Curto and L. A. Fialkow[1], Recursiveness, positivity, andtruncated moment problems, Houston J. Math. 17 (1991), 603–635,

kl-mp .

[278] A. Cuyt, K. Driver, and D. S. Lubinsky[1], On the size of Lemnis-cates of polynomials in one and several variables, Proc. AMS 124(7)

(1996), 2133–??, k .

[279] A. Danese[1], On a characterization of ultraspherical polynomials,

Boll. U.M.I. 21 (1966), 1–3.

[280] A. E. Danese[2], Present status and current trends in the theory oforthogonal polynomials and special functions, Rend. Sem. Mat. Univ.

Politecn. Torino 35 (1976-77), 5–20.

[281] J. S. Dehesa and A. F. Nikiforov [1], The Orthogonality Properties

of q-Polynomials, Integral Transforms and Special Functions 4(4)(1996), 343–354, k .

[282] J. S. Dehesa, E. Buendia, and M. A. Sanchez-Buendia[1], On thepolynomial solutions of ordinary differential equations of the fourth

order, J. Math. Phys 26(7) (1985), 1547–1552, kl .

[283] J. S. Dehesa and R. J. Yanez[1], Fundamental recurrence relations offunctions of Hypergeometric type and their derivatives of any order,

Il. Nuevo Cimenti 109 (1994), 711–723, kl .

21

[284] J. S. Dehesa, A. Zarzo, R. J. Yanez, B. Germano, and P. E. Ricci[1],Orthogonal polynomials and differential equations in neutron-

transport and radiative-transfer theories, J. Comp. Appl. Math. 50(1994), 197–206, k .

[285] T. Dehn[1], A shortcut to asymptotics for orthogonal polynomials, J.

Comp. Appl. Math. 50 (1994), 207–219, k .

[286] P. Delsarte and Y. Genin[1], The Tridiagonal Approach to Szego’s Or-

thogonal Polinomials, Toeplitz Linear Systems, and Related Interpo-lation Problems, SIAM J. Math. Anal. 19 (1988), 718–735, kl-sz .

[287] W. Derrick and J. Eidwick[1], Continued Fractions, Chebychef Poly-

nomials, and Chaos, M. M. A. Monthly (1995), 337–344.

[288] M. M. Derrienuic[1], Polynomes orthonaux de type Jacobi sur un tri-

angle, C.R.Acad. Sci. Paris 300 (1985), 471–474.

[289] H. Dette[1], New Bounds for Hahn and Krawtchouk Polynomials,SIAM J. Math. Anal. 26 (1995), 1647–1659, kl .

[290] H. Dette and W. J. Studden[1], On a new characterization of theclassical orthogonal polynomials, J. Approx. Theory 71 (1992), 3–17,

kl .

[291] H. Dette and W. J. Studden[2], Some New Asymptotic Propertiesfor the Zeros of Jacobi, Laguerre, and Hermite Polynomials, Constr.

Approx. 11 (1995), 227–238, k-zo .

[292] A. Deinatz[1], Two Parameter Moment Problems, Duke Math. J. 24

(1957), 481–498, k-mp,sv .

[293] K. K. Dewan[1], Inequalities for a Polynomial and Its Derivative, II,

J. Math. Anal. Appl. 190 (1995), 625–629, k-pi .

[294] D. Dickinson[1], On Lommel and Bessel polynomials, Proc. A.M.S. 5(1954), 946–956, kl .

[295] D. Dickinson[2],On quasi-orthogonal polynomials, Proc. Amer. Math.Soc. 12 (1961), 185–194.

[296] D. J. Dickinson, H. O. Pollak, and G. H. Wannier[1], On a class of

polynomials orthogonal over a denumerable set, Pacific J. of Math. 6(1956), 239–247, kl .

[297] J. F. Van Diejen[1], Commuting Difference Operators with Polyno-mial Eigenfunctions, Compositio Mathematica 95 (1995), 183–233,

k-sv .

22

[298] K. Dilcher and K. B. Stolarcky[1], Zeros of the Wronskian of Cheby-shev and Ultraspherical Polynomials, Rocky Mt. Journal of Mathe-

matics 23 (1993), 49–65, k-zo .

[299] D. K. Dimitrov[1], Markov Inequalities for Weight Functions ofChebyshev Type, J. of Approx. Theory 83 (1995), 175–181, kl-pi .

[300] J. Dini[1], Sur les formes lineaires et les polynomes orthogonaux deLaguerre-Hahn, These de l’Universite Pierre et Marie Curie, Paris,

1988.

[301] J. Dini and P. Maroni[1], La multiplication d’une forme lineaire parune fraction rationelle. Application aux formes de Lagurre-Hahn, An-

nales Polonici Mate. LII (1990), 175–185, kl .

[302] J. Dini, P. Maroni, and A. Ronveaux[1], Sur une perturbation de la

recurrence verifiee par une suite de polynomes orthogonaux, Portugal.Math. 46(3) (1989), 269–282, kl .

[303] J. Dombrowski[1], Orthogonal Polynomials and Functional Analysis

Orthogonal Polynomials, P. Nevai (ed), Kluwer Academic Publishers(1990), 147–161, kl .

[304] J. Dombrowski[2], Spectral Measures Corresponding to OrthogonalPolynomials with Unbounded Recurrence Coefficients, Constr. Ap-

prox. 5 (1989), 371–381, k .

[305] J. Dombrowski and P. Nevai[1], Orthogonal polynomials, measuresand recurrence relations, SIAM J. Math. Anal. 17(3) (1986), 752–

759, kl .

[306] E. A. van Doorn[1], On a class of generalized orthogonal polynomi-

als with real zeros. Orthogonal polynomials and their applications,IMACS (1991), 231–236, kl-zo .

[307] E. A. van Doorn[2], Some new results for chain-sequence polynomials,J. Comp. Appl. Math. 57 (1995), 309–317, kl .

[308] P. Dorfler[1], New inequalities of Markov type, SIAM J. Math. Anal.

18 (1987), 490–494, kl-pi .

[309] P. Dorfler[2], A Markov type inequality for higher derivatives of poly-nomials, Mh. Math. 109 (1990), 113–122, kl-pi .

[310] P. Dorfler[3], Uber die bestmogliche Konstante in Markov-Ungleichungen mit Laguerre-Gewicht, Sitzungsber. Abt. II, Osterr.

Akad. Wiss. Math. Naturwiss. Kl 200 (1991), 13–20, kl-pi .

23

[311] K. Douak[1], The relation of the d-orhtogonal polynomials to the Ap-pell polynomials, J. Comp. Appl. Math. 70 (1996), 279–295, k .

[312] K. Douak and P. Maroni[1], Les polynomes orthogonaux ”classiques”de dimension deux, Analysis 12 (1991), 71–107, kl .

[313] K. Douak and P. Maroni[2], Une Caracterisation des Polynomes d-Orthogonaux ”Classique”, J. Approx. Th. 82 (1995), 177–204, kl .

[314] K. Douak and P. Maroni[3], Une caracterisation des polynomes or-

thogonaux ”classiques” de dimension d, preprint, kl .

[315] K. Douak and P. Maroni[4], On d-Orthogonal Tchebychev Polynomi-

als,I, preprint, k .

[316] K. Douak and P. Maroni[5], On d-Orthogonal Tchebychev Polynomi-als,II, preprint, k .

[317] S. S. Dragomir[1], A Generalization of J. Aczel’s Inequality in InnerProduct Spaces, Acta. Math. Hungar. 65(2) (1994), 141–148, kl-pi .

[318] N. Draidi and P. Maroni[1], Sur l’adjonction de deax masses de Dirac

a une formereguliere quelconque, in Polinomios Ortogonales y SusAplicaciones, A. Cachafeirv and E. Godoy Eds., Univ. Vigo (1989),

83–90, k .

[319] A. Draux[1], On quasi-orthogonal polynomials, J. Approx. Th. 62

(1990), 1–14, kl .

[320] A. Draux[2], On semi-orthogonal polynomials, ????, k .

[321] A. Draux and C. Elhami[1], On the positivity of some bilinear func-

tionals in Sobolev, k .

[322] A. Draux and A. Maanaoui[1], Vector orthogonal polynomials, J.Comp. Appl. Math. 32 (1990), 59–68, k-mo .

[323] F. Dubeau and J. Savoie[1], On the Roots of Orthogonal Polynomialsand Euler-Frobenius Polynomials, J. Math. Anal. Appl 196 (1995),

84–98, k-zo .

[324] J. J. Duistermaat and F. A. Gr˙

[325] K. B. Dunn and R. Lidl[1], Multidimensional generalizations of the

Chebyshev polynomials I, II, Proc. Japan Acad. 56 (1980), 154–165,sv .

[326] K. B. Dunn and R. Lidl[2], Generalizations of the classical Cheby-shev polynomials to polynomials in two variables, Czech. Math. J. 32

(1982), 516–528, sv .

24

[327] C. F. Dunkl[1], The Mearure Algebra of a Locally Compact Hyper-group, Trans. Amer. Math. Soc. 179 (1973), 331–348, k-hg .

[328] J. Duoandikoetxea and E. Zuazua[1], Moments, masses de Dirac et

decomposition de fonctions, ???, mp .

[329] A. J. Duran[1], The Stieltjes Moment Problem for rapidly decreasingfunctions, Proc. Amer. Math. Soc. 107(3) (1989), 731–741, kl-mp .

[330] A. J. Duran[2],On Hankel transform, Proc. Amer. Math. Soc. 110(2)(1990), 417–424, kl .

[331] A. J. Duran[3], Laguerre expansions of Tempered distributions and

generalized functions, J. Math. Anal. Appl. 150 (1990), 166–180,kl .

[332] A. J. Duran[4], Matrix inner product having a matrix symmetric sec-ond order differential operator, preprint (1992), kl-mo .

[333] A. J. Duran[5], Ceros, Preprint (1992), kl-zo,mo .

[334] A. J. Duran[6], On orthogonal polynomials with respect to a positivedefinite matrix of measures, preprint (1992), kl-mo .

[335] A. J. Duran[7], A generalization of Favard’s theorem for polynomialssatisfying a recurrence relation, J. Approx. Theory 74 (1993), 83–109,

kl-so .

[336] A. J. Duran[8], Laguerre Expansions of Gel’fand-Shilov Spaces, J.Approx. Theory 74 (1993), 280–300, kl .

[337] A. J. Duran[9], Functions with given moments and weight functionsfor orthogonal polynomials, Rocky Mt. J. Math. 23(1) (1993), 87–

104, k-mp .

[338] A. J. Duran[10], The Stieltjes Moment problem with complex expo-nents, Math. Nachr., to appear, kl-mp .

[339] A. J. Duran[11], The Hausdorff moment problem with complex expo-nents and Muntz-Szasz theorem for distributions, preprint, kl-mp .

[340] A. J. Duran[12], A bounded on the Laguerre polynomials, Studia

Mathematica 100(2) (1991), 169–181, kl .

[341] A. J. Duran[13], The Analytic Functionals in the Lower Half Plane

as a Gel’Fand-Shilov Space, ????, k .

[342] A. J. Duran[14], On Favard’s Thoerem, ??, kl .

25

[343] A. J. Duran[15],Markov’s theorem for orthogonal matrix polynomials,Can. J. Math. 48(6) (1996), 1180–1195, k .

[344] A. J. Duran[16], Orthogonal matrix polynomials on the real line, Uni-

versidad de Sevilla, k .

[345] A. J. Duran[17],Ratio asymptotics for orthogonal matrix polynomials,preprint, k .

[346] A. J. Duran[18], On orthogonal matrix polynomials, preprint, k .

[347] A. J. Duran and W. van Assche[1], Orthogonal Matrix Polynomilasand Higher Order Recurrence Relations, Linear Algebra and Appli-

cations 219 (1995), 261–280, mo .

[348] A. J. Duran and P. Lopez-Rodriguez[1], Orthogonal Matrix Polyno-

mials:Zeros and Blumenthal’s Theorem, J. Approx. Th. 84 (1996),96–118, k-zo,mo .

[349] A. J. Duran and P. Lopez-Rodriguez[2], The CalLp Space of a Posi-tive Definite Matrix of Measures and Density if Matrix Polynomials

in CalL1, J. Approx. Th. 90 (1997), 299–318, k .

[350] A. J. Duran, P. Lopez-Rodriguez, and E. B. Saff[1], Zero asymptoticbehaviour for orthogonal matrix polynomials, preprint, k .

[351] A. J. Duran, A. Sinap, and W. Assche[1], Orthogonal matrix polyno-mials and higher order recurrence relations, preprint (1993), kl-mo .

[352] A. L. Duran and R. Estrada[1], Strong moment problems for rapidly

decreasing smooth functions, Proc. Amer. Math. Soc. 120 (1994),529–534, kl-mo .

[353] P. L. Duren[1], Polynomials orthogonal over a curve, ?, 313–316,k-co .

[354] H. B. Dwight[1], Tables for integrals and other mathematical data,

4th edition, Macmillan Co., N.Y., 1961.

[355] N. Dyn, D. S. Lubinsky, and B. Shekhtman[1], On Density of Gen-

eralized Polynomials, Canad. Math. Bull. 34 (1991), 202–207, k .

[356] K. O. Dzhaparidze and R. H. P. Janssen[1], On orthonoamal polyno-mials and kernel polynomials associated with a matrix spectral distri-bution function, Report BS-R9418, ISSN (1994), kl-mo .

[357] J. Dzoumba[1], Sur les polynomes de Laguerre-Hahn, These de

troisieme cycle, Univ. Pierre et Marie Curie, Paris, 1985.

26

[358] G. K. Eagleson[1], A characterization theorem for positive definitesequences on the Krawtchouk polynomials, Austra. J. Stat. 11 (1969),

29–38, k-do .

[359] R. Ebert[1], Uber polynomsysteme mit Rodriguesscher Darstellung,Dissertation, Cologne, 1964.

[360] R. Eier and R. Lidl[1], A class of orthogonal polynomials in k vari-ables, Math. Ann. 260 (1982), 93–99, sv .

[361] R. Eier, R. Lidl, and K. B. Dunn[1], Differential equations for gen-

eralized Chebyshev polynomials, Rend. di Mate. 1 (1981), 633–646.

[362] S. J. L. van Eijndhoven and J. L. H. Meyers[1], New orthogonalityRelations for the Hermite polynomials and related Hilbert spaces, J.Math. Anal. Appl. 146 (1990), 89–98, kl .

[363] A. Elbert and A. Laforgia[1], Upper Bounds for the Zeros of Ultras-

pherical Polynomials, J. Approx. Th. 61 (1990), 88–97, k-zo .

[364] A. Elbert, A. Laforgia, and L. G. Rodono[1], On the Zeros of Jacobi

Polynomials, Acta Math. Hungar. 64(4) (1994), 351–359, k-zo .

[365] R. L. Ellis, I. Gohberg, and D. C. Lay[1], ON Two Theorems of M.G. Krein concerning polynomials orthogonal on the unit circle, Int.Eq. and Operator Th. 11 (1988), 87–104, kl-sz .

[366] T. Erdelyi[1], Weighted Markov and Bernstein Type Inequalities for

Generalized Non-negative Polynomials, J. Approx. Th. 68 (1992),283–305, k-pi .

[367] T. Erdelyi[2], Nikolskii-Type Inequality for Generalized Polynomialsand Zeros of Orthogonal Polynomials, J. Approx. Th. 67 (1991), 80–

92, k-pi,zo .

[368] T. Erdelyi and P. Nevai[1], Generalized Jacobi weights, Christoffel

functions, and zeros of orthogonal polynomials, J. Approx. Th. 69(1992), 111–132, k-qd,zo .

[369] T. Erdelyi, P. Nevai, J. Zhang, and J. S. Geronimo[1], A Simple Proofof Favard’s Theorem on the Unit Circle., Atti Sem. Mat. Fis. Unit.

Modena XXXIX (1991), 551–556, kl-sz .

[370] A. Erdelyi and et al.[1], Higher Transcendental Functions, vol. Vol.III, McGraw-Hill, N.Y. Vol. I, II, 1953, 1955, k .

[371] R. Estrada and R. P. Kanwal[1], Moment sequences for a certainclass of distributions, Complex Variables 9 (1987), 31–39, kl-mp .

27

[372] W. D. Evans, W. N. Everitt, K. H. Kwon, and L. L. Littlejohn[1],Real orthogonalizing weights for Bessel polynomials, J. Comp. Appl.

Math. 49 (1993), 51–57, k .

[373] W. D. Evans and L. L. Littlejohn[1], On Formally Symmetric Differ-ential Expressions, ???, k-so .

[374] W. D. Evans, L. L. Littlejohn, F. Marcellan, C. Markett, and A. Ron-veaux[1], On recurrence relations for Sobolev orthogonal polynomials,

SIAM J. Math. Anal. 26(2) (1995), 446–467, kl-so .

[375] R. J. Evans and J. J. Wavrik[1], Zeros of difference polynomials, J.Approx. Th. 69 (1992), 1–14, kl-zo .

[376] W. N. Everitt[1], Legendre polynomials and singular differential op-erators, Lecture Notes in Mathematics, 83–106, kl-sa .

[377] W. N. Everitt[2], The Sturm-Liouville Problem for Fourth-Order Dif-

ferential Wquations, Quart. J. Math. Oxford (2) 8 (1957), 146–160,

k-sa(r) .

[378] W. N. Everitt, A. Iserles, and L. L. Littlejohn[1], Characterization

of orthogonal polynomials simulataneously with l2 and Sobolev innerproducts, J. Comp. Appl. Math. 48(1-2) (1993), 228–229, so .

[379] W. N. Everitt, A. M. Krall, L. L. Littlejohn, and V. P. Onyango-

otieno[1], Differential operators and the Laguerre type polynomials,SIAM J. Math. Anal. 23 (1992), 722–736, kl-sa .

[380] W. N. Everitt, A. M. Krall, and L. L. Littlejohn[1], On some prop-erties of the Legendre type Differential Expression, Quaes. Math. 13

(1990), 83–106, kl-sa .

[381] W. N. Everitt, K. H. Kwon, and L. L. Littlejohn[1], Spectral theoryof the Laguerre polynomials when α ∈ N , preprint, k .

[382] W. N. Everitt, M. K. Kwong, and A. Zettl[1], Oscillation of eigen-functions of weighted regular sturm-liouville problems, J. London

Math. Soc. (2) 27 (1983), 106–120, k-sa .

[383] W. N. Everitt and V. K. Kumar[1], On the Titchmarsh-Weyl theoryof ordinary symmetric differential expressions I: The general theory,

Nieuw Arch. Wisk. 24 (1976), 1–48, k .

[384] W. N. Everitt and V. K. Kumar[2], On the Titchmarsh-Weyl theory

of ordinary symmetric differential expressions II: The odd order case,Nieuw Arch. Wisk. 24 (1976), 109–145, k .

28

[385] W. N. Everitt and L. L. Littlejohn[1], Differential operators and theLegendre type polynomials, Diff. and Int. Equations 1(1) (1988), 97–

116, kl-sa .

[386] W. N. Everitt and L. L. Littlejohn[2], The density of polynomials ina weighted Sobolev space, Rend. Mat. Roma, serie (VII) 10 (1990),

835–852, kl-so .

[387] W. N. Everitt and L. L. Littlejohn[3], Orthogonal polynomials and

spectral theory : A survey, In Orthogonal Polynomials and their Ap-plications. L. Gori, C. Brenzinski, A. Ronveaux Eds , IMACS Annals

on Computational and Applied Mathematics Vol 9 J. C. Baltzer,Basel. (1991), 21–55, kl .

[388] W. N. Everitt and L. L. Littlejohn[4], Notes on the DPS classification

problem and the (TPS∩DPS) classification problem, Utah St. Univ.3/92/56 (1992), kl .

[389] W. N. Everitt, L. L. Littlejohn, and S. M. Loveland[1], Propertiesof the Operator Domains of the Fourth-order Legendre-type Differen-

tial expressions, Differential and Integral Equations Vol. 7 No 3-6(1994), 1–?, kl .

[390] W. N. Everitt, L. L. Littlejohn, and S. M. Loveland[2], The Opera-tor Domains of the Legendre (r) Differential expressions, Utah State

Univ., Preprint Report 3/92/57 (v2), k .

[391] W. N. Everitt, L. L. Littlejohn, and R. Wellman[1], The symmetricform of the Koekoek’s Laguerre type differential equation, J. Comp.

Appl. Math. 57 (1995), 115–121, kl .

[392] W. N. Everitt, L. L. Littlejohn, and R. Wellman[2], On the com-

pleteness of orthogonal polynomials in left-definite Sobolev spaces, InTopics in Polynomials of One and Several variables and their applica-

tions, Th. M. Rassias et al Editors, World Scientific, (1993), 173–196,kl-so .

[393] W. N. Everitt, L. L. Littlejohn, and S. C. Williams[1], Orthogonal

polynomials in weighted Sobolev spaces, Lectures Notes in Pure andApplied Math. vol.117, J. Vinuesa Ed., Marcel Dekker. New York(1989), 53–72, k-so,sa .

[394] W. N. Everitt, L. L. Littlejohn, and S. C. Williams[2], The left-definite Legendre type boundary problem, Constr. Approx. 7 (1991),

485–500, k-sa .

29

[395] W. N. Everitt, L. L. Littlejohn, and S. C. Williams[3], Orthogonalpolynomials and approximation in Sobolev spaces, J. Comp. Appl.

Math. 48(1-2) (1993), 69–90, kl-so .

[396] W. N. Everitt and C. Markett[1], On a generalization of Bessel func-tions satisfying higher-order differential equations, J. Comp. Appl.

Math. 54 (1994), 325–349, k .

[397] W. N. Everitt and A. Zettl[1], Differential operators generated by acountable number of quasi-differential expressions on the real line,

Proc. London Math. Soc. 64(3) (1992), 524–544, kl .

[398] W. N. Everitt and A. Zettl[2], Sturm-Liouville Differential Operatorsin Direct Sum Spaces, Rocky Mt. J. Math. 16(3) (1986), 497–516,

k-sa .

[399] E. D. Fackerell and R. Littler[1], Polynomials biorthogonal to Appellspolynomials, Bull. Austra. Math. 11 (1974), 181–195, bp .

[400] J. Faldey and W. Gawronski[1], On the Limit Distributions of the

Zeros of Jonquiere Polynomials and Generalized Classical OrthogonalPolynomials, J. Approx. Th. 81 (1995), 231–249, kl-zo .

[401] K. Farahmand and N. H. Smith[1], An approximate formula for the

expected number of real zeros of a random polynomial, J. Math. Anal.Appl. 188 (1994), 151–157, k-zo .

[402] J. Farvard[1], Sur les polynomes de Tchebicheff, C.R. Acad. Sci. Paris

200 (1935), 2052–2053, k .

[403] C. Fefferman and R. Narasimhan[1], Bernstein Inequality and theResolution of Spaces of Analytic Functions, Duke Math. J. 81(1)

(1996), 77–98, k-pi(r) .

[404] E. Feldheim[1], Sur une propriete des polynomes orthogonaux, J. Lon-

don Math. Soc. 13 (1938), 44–53, k .

[405] E. Feldheim[2], Une propriete caracteristique des polynomes de La-guerre, Comment. Math. Helv. 13 (1940), 6–10.

[406] L. Feldmann[1], Uber durch Strurm-Liouvillesche Differentialgle-ichungen charakterisierte orthogonale Polynomsysteme, Publ. Math.Debrecen 3 (1954), 297–304, k .

[407] L. Feldmann[2], On a characterization of the classical orthogonalpolynomials, Acta Sci. Math. Szeged 17 (1956), 129–133, kl .

[408] I. Fischer[1], Discrete Orthogonal Polynomial Expansions of Averaged

Functions, J. Math. Anal. Appl. 194 (1995), 934–947, k-do .

30

[409] B. Fischer and J. Prestin[1],Wavelets based on orthogonal polynomi-als, Math. Comp. 66 No. 220 (1997), 1593–1618, k .

[410] K. J. Foster and K. Petras[1], On the Zeros of Ultraspherical Polyno-

mials and Bessel Functions, Orthogonal Polynomials and their appl.(1991), 257–262, k-zo .

[411] M. Foupouagnigni, M. N. Hounkonnou, and Ronveaux[1], Laguerre-Freud Equations for the Recurrence Coefficients of Dω Semi-Classical

Orthogonal Polynomial, submit, k .

[412] G. Freud[1],Orthogonal polynomials and Christoffel functions; A casestudy, J. Approx. Th. 48(1) (1986), 1–167, k .

[413] G. Freud[2], On Markov-Brenstein-type Inequalities and Their Appli-cations, J. Approx. Th. 19 (1977), 22–37, k-pi .

[414] B. Gabutti[1], Some characteristic property of the Meixner polyno-

mials, J. Math. Anal. Appl. 95 (1983), 265–277, k-do .

[415] M. B. Gagaeff[1], Sur l’unicite du systeme de fonctions orthogonalesinvariant relativement a la derivation, C.R. Acad. Sci. Paris 188(1929), 222–224, k .

[416] F. Galvez and J. S. Dehesa[1], Some open problems of generalized

Bessel polynomials, J. Phys. A: Math. Gen. 17 (1984), 2759–2766,k .

[417] P. Garcia and F. Marcellan[1], On zeros of regular orthogonal poly-

nomials on the unit circle, Annales Polonici Mathematici LVIII.3(1993), 287–298, kl-zo,sz .

[418] A. G. Garcia, F. Marcellan, and L. Salto[1], A distributional study ofdiscrete classical orthogonal polynomials, J. Comp. Appl. Math. 57

(1995), 147–162, kl-do .

[419] P. Garcia, F. Marcellan, and C. Tasis[1], On a SzegO’s Result: Gen-erating Sequences of Orthogonal Polynomials on the Unit Circle, Or-

thogonal Polynomials and their applications. C. Brezinski, L. Goriand A. Ronveaux (eds), J. C. Baltzer AG, Scientific Publishing Co

IMACS (1991), 271–274, k-sz .

[420] R. B. Gardner and N. K. Govil[1], An Lp Inequality for a Polynomila

and its Derivative, J. Math. Anal. Appl. 194 (1995), 720–726, kl-pi .

[421] R. B. Gardner and N. K. Govil[2], On the Location of the Zeros of aPolynomial, J. Approx. Th. 76 (1994), 286–292, k-zo .

31

[422] W. Gautschi[1], On the contruction of Gaussian quadrature rulesfrom modified moments, Math. Comp. 24(110) (1970), 245–260,

kl-qd .

[423] W. Gautschi[2], Minimal solutions of three-term recurrence relationsand orthogonal polynomials, Math. Comp. 36(154), 547–, k .

[424] W. Gautschi and A. B. J. Kuijlarrs[1], Zeros and Critical Points ofSobolev Orthogonal Polynomials, preprint, k-so,zo .

[425] W. Gautschi and S. Li[1], A set of orthogonal polynomials induced bya given orthogonal polynomial, Aequations Mathematicae 46 (1993),

174–198, kl .

[426] W. Gautschi and S. Li[2], On Quadrature Convergence of ExtendedLagrange Interpolation, Math. Comp. 65(215) (1996), 1249–1256,

k-qf .

[427] W. Gautschi and G. V. Milovanovic[1], Polynomials orthogonal on

the semicircle, J. Approx. Th. 46 (1986), 230–250.

[428] W. Gautschi and G. V. Milovanovic[2], S-orthogonality and construc-tion of gauss-turan-type quadrature formulae, J. Comp. Appl. Math.

86 (1997), 205–218, k .

[429] W. Gautschi and S. E. Notaris[1], Stieljes Polynomials and Related

Quadrature Formulae For a Class of Weight Functions, Math. Comp.65(215) (1996), 1257–1268, k-qf .

[430] W. Gautschi and M. Zhang[1], Computing Orthogonal Polynomials

in Sobolev Spaces, Numer. Math. 71 (1995), 159–183, kl-so .

[431] W. Gawronski[1], On the Asymptotic Distribution of the Zeros of

Hermite, zaguerre, and Jonquiere Polynomials, J. Approx. Th. 50(1987), 214–231, k-zo .

[432] M. I. Gekhtman and A. A. Kalyuzhny[1], On the orthogonal poly-

nomials in several variables, Integral Equation Operator Theory 19(1994), 404–418, l-sv .

[433] B. Germano, P. Natalini, and P. E. Ricci[1], Computing the momentsof the density of zeros for orthogonal polynomials, Computers Math.

Applic. 30 (1995), 69–81, kl-zo .

[434] J. S. Geronimo[1], Polynomials Orthogonal with Respect to SingularContinuous Measures, ??, k .

32

[435] J. S. Geronimo andW. van Assche[1], Approximating the weight func-tion for orthogonal polynomials on several intervals, J. Approx. The-

ory 65(3) (1991), 341–371, kl .

[436] J. S. Geronimo and W. van Assche[2], Relative Asymptotics for Or-thogonal Polynomials with Unbounded Recurrence Coefficients, J. Ap-

prox. Theory 62 (1990), 47–69, k .

[437] J. S. Geronimo and W. van Assche[3], Orthogonal Polynomials with

Asymptotically Periodic Recurrence Coefficients, J. Approx. Theory46 (1986), 251–283, k .

[438] J. S. Geronimo and W. van Assche[4], Orthogonal Polynomials on

Several Intervals via a Polynomial Mapping, Trans. Amer. Math. Soc.308(2) (1988), 559–581, k .

[439] J. S. Geronimo and P. G. Nevai[1], Necessary and Sufficient Con-ditions Relating the Coefficients in the Recurrence Formula to the

Spectral Function for Orthogonal Polynomials, SIAM J. Math. Anal.14 (1983), kl .

[440] J. L. Geronimus[1], On orthogonal polynomials, Trans. Amer. Math.

Soc. 33 (1931), 322–328.

[441] J. L. Geronimus[2], On polynomials orthogonal with respect to nu-

merical sequences and on Hahn’s theorem, Izv, Akad. Nauk 4 (1940),215–228.

[442] J. L. Geronimus[3], The orthogonality of some systems of polynomi-

als, Duke Math. J. 14 (1947), 503–510, kl .

[443] J. L. Geronimus[4], Polinomials orthogonal on a circle and interval,

Pergaman Press, Oxford, 1958, k-sz .

[444] J. L. Geronimus[5], Orthogonal polynomials: Estimates, asymptoticformulas, and series of polynomails orthogonal on the unit circle andon an interval, Consultants Bureau, N.Y., 1961, sz,qd .

[445] J. L. Geronimus[6], Orthogonal polynomials, Amer. Math. Soc.

Trans., Series 2 108 (1977), 37–130, k .

[446] Y. L. Geronimus[1], Polynomials orthogonal on a circle and their

applications, Amer. Math. Soc. Transl. 104 (1954), kl-sz .

[447] B. Ghosh[1], Raising and lowering operators for classiacal orthogonalpolynomials, Bull. Calcutta Math. Soc. 76 (1984), 276–279.

33

[448] J. Gilewicz and E. Leopold[1], Localization of the zeros of polyno-mials satisfying three-term recurrence relations. I. General case with

complex coefficients, J. Approx. Theory 43 (1985), 1–14, kl-zo .

[449] H. J. Glaeske[1], On Zernicke Transforms in spaces of Distributions,Integral Transforms and Special Functions 4(3) (1996), 221–234,k-sv .

[450] E. Godoy and F. Marcellan[1], Orthogonal polynomials on the unit

circle : distribution of zeros, Tech. Report, kl-sz,zo .

[451] E. Godoy and F. Marcellan[2], Tridiagonal Toeplitz matrices and or-

thogonal polynomials on the unit circle, Proc. of Int’al Congress onOrthog. Polyn. and their Appl., Marcel Dekker, 139–146, kl-sz .

[452] E. Godoy and F. Marcellan[3], An analog of the Christoffel formulafor polynomial modification of a measure on the unit circle, Bollettino

U. M. I.(SEZIONE SCIENTIFICA) (7) 5-A (1991), 1–12, kl-sz .

[453] E. Godoy and F. Marcellan[4], Orthogonal Polynomials and Rational

Modifications of Measures, Can. J. Math. 45(5) (1993), 930–943,kl-sz .

[454] E. Godoy, F. Marcellan, L. Salto, and A. Zarzo[1], Perturbations ofdiscrete semiclassical functionals by Dirac masses, Integral Trans-

forms and Special Functions 5 (1997), 19–46, k .

[455] E. Godoy, A. Ronveaux, A. Zarzo, and I. Area[1],Minimal recurrencerelations for connections coefficients betwee classical orthogonal poly-nomials: Continuous case, J. Comp. Appl. Math. 84 (1997), 257–275,

k .

[456] J. L. Goldberg[1], Polynomials orthogonal over a denumerable set,Pacific J. Math. 15 (1965), 1171–1186, k .

[457] L. Golinski, P. Nevei, and W. van Assche[1], Perturbation of Or-thogonal Polynomials on an Arc of the Unit Circle, J. Appr. Th. 83

(1995), 392–422, kl .

[458] A. P. Golub[1], One type of generalized moment representations,

Ukran. Math. J. 41 (1989), 1246–1251, kl-mp .

[459] L. Gori [1], On the Behaviour of the Zeros of Some s-Orthogonal

Polynomials, Proc. 2nd Int’al Symp., On Orth. Polyn and their appl.(Segovia, 1986) Ed. R. C. Palacious (1988), 71–85, k .

[460] L. Gori and M. L. Lo Cascio[1], On an invariance property of the

Zeros of some s-Orthogonal Polynomials, Orthogonal Polynomials

34

and their Appl. C. Brezinski, L. gori, and A. Ronveaux (Eds),

J. C. Batzer AG, IMACS, 1991, 277–280, k-zo,do(r) .

[461] L. Gori and C. A. Micchelli[1], On Weight Functions which admitexplict Gauess-Turan Quadrature Formulas, Mathematics of Com-

putation 65(216) (1996), 1567–1581, k-qf .

[462] N. K. Govil and D. H. Vetterlein[1], Inequalities for a Class of Poly-

nomials Satisfying p(z) ≡ znp(1z ), Complex Variables 31 (1996), 185–191, k-pi .

[463] R. J. Goult[1],Applications of Constrained Polynomials to Curve and

Surface Approximation, Curves and Surfaces in Geometric DesignP.J.Laurent, A.Le Mehaute, and L.L.Schumaker(eds.), 217–

224, k-pa .

[464] U. Grenander and G. Szego[1], Toeplitz forms and their applications,

Univ. Calif. Press, Berkely, 1958.

[465] W. Grobner[1], Uber die konstruktion von systemen orthogonalerpolynome in ein und zweidimensionalen bereichen, Monat. Math. 52

(1948), 38–54.

[466] W. Grobner[2], Orthogonale polynomsysteme, die gleichzeitig mit

f(x) auch deren ableitung f ′(x) approximieren, In Int. Ser. of Num.Math. 7 (Birkhauser Verlag Basel. 1967), 24–32.

[467] C. C. Grosjean[1], The weight functions, generating functions and

miscellaneous properties of the sequences of orthogonal polynomialsof the second kind associated with the Jacobi and Gegenbauer polyno-mials, J. Comp. Appl. Math. 16(3) (1986), 259–307, kl .

[468] E. Grosswald[1], Bessel Polynomials, Lect. notes math. no. 698,

Springer-Verlag, 1978, k .

[469] F. A. Grunbaum[1], Band and time limiting, resursion relations andsome nonlinear evilution equations, In Special Functons: group the-oretical aspects and applications R. Askey, T. Koornwinder, E.

Schempp Eds (1984), 272–286, k .

[470] F. A. Grunbaum[2], Time-Band Limiting and the Bispectral Problem,Comm. Pure and Appl. Math. XLVII (1994), k .

[471] F. A. Grunbaum[3], Band-Time-Band Limiting Intefral Operatorsand Commuting Differential Operators, St. Petersburg Math. J. 8

(1997), 93–96, k .

35

[472] F. A. Grunbaum and L. Haine[1], A Theorem of Bochner, Progressin Nonlinear Differential Equations 26 (1996), 143–172, k .

[473] F. A. Grunbaum and L. Haine[2], The q-version of a theorem of

Bochner, J. Comp Appl. Math. 68 (1996), 103–114, k .

[474] F. A. Grunbaum and L. Haine[3], Orthogonal polynomials Satisfy-ing Differentail Equations: The Role of the Darboux Transformation,CRM Proc. and Lecture Notes 9 (1996), 143–144, k .

[475] F. A. Grunbaum and L. Haine[4],On a q-Analogue of Gauss Equation

and Some q-Riccati Equations, Fields Inst. Comm. 4 (1997), 77–81,k .

[476] F. A. Grunbaum and L. Haine[5], Bispectral Darboux Transforma-tions: An Extension of the Krall Polynomials, International Math.

Reserch Notices 8 (1997), 359–392, k .

[477] F. A. Grunbaum and L. Haine[6], Some Functons that Generalizethe Askey-Wilson Polynomials, Commun. Math. Phys. 184 (1997),

173–202, k .

[478] J. J. Guadalupe, M. Perez, F. J. Ruiz, and J. L. Varona[1],Weighted

Lp-Boundedness of Fourier Series with Respect to Generalized JacobiWeights, Publicacions Matematiques 35 (1991), 449–459, k .

[479] J. J. Guadalupe, M. Perez, F. J. Ruiz, and J. L. Varona[2],Weighted

Norm Inequalties for Polynomials Expansions Associated to SomeMeasures with Mass Points, Constr. Approx. 12 (1996), 341–360,

k-pi .

[480] M. Guerfi[1], Les polynomes de Laguerre-Hahn affines discretes,

These de trovsieme cycle, Univ. Pierre et Marie Curie, Paris, 1988,do .

[481] M. Guerfi and P. Maroni[1], Les polynomes orthogonaux inverses despolynomes orthogonaux classiques, preprint no. 89034, kl .

[482] M. Guerfi and P. Maroni[2], Sur les polynomes orthogonaux de la

classe de Laguerre-Hahn affine, ???, k .

[483] A. Guessab[1], A weighted L2 Markoff type inequality for classicalweights, Acta Math. Hungar. 66 (1995), 155–162, kl-pi .

[484] A. Guessab[2], Quadrature formulae and polynomial inequalities, J.Appr. Theory 90 (1997), 255–282, k-qo,pi .

36

[485] A. Guessab and G. V. Milovanovic[1],Weighted L2-analgues of Bern-stein’s inequality and classical orthogonal polynomials, J. Math. Anal.

Appl. 182 (1994), 244–249, kl-pi .

[486] A. Guessab and G. V. Milovanovic[2],Extremal Problems of Markov’s

Type for Some Differential Operators, Rocky Mt. J. Math. 24(4)(1994), 1431–1438, k-pi .

[487] A. Guessab and Q. I. Rahman[1], Qudrature Formulae and Polyno-mial Inequalities, J. Approx. Th. 90 (1997), 255–282, qd,pi .

[488] A. Guessab and Y. Xu[1], Turan Type Quadrature Formulae for

Bernstein-Szego Weight Function, ???, k-qf .

[489] D. P. Gupta, M. E. H. Ismail, and D. R. Masson[1],Associated contin-

uous Hahn polynomials, Canad. J. Math. 43(6) (1991), 1263–1280,kl .

[490] D. P. Gupta and D. R. Masson[1], Exceptional q-Askey-Wilson Poly-

nomials and Continued Fractions, Proc. Amer. Math. Soc. 112(3)(1991), 717–727, k .

[491] W. Hahn[1], Uber die Jacobischen Polynome und zwei verwandtePolynomklassen, Math. Z. 39 (1935), 634–638, kl .

[492] W. Hahn[2], Uber hohere Ableitungen von Orthogonalpolynomen,Math. Z. 43 (1937), 101.

[493] W. Hahn[3], Uber Orthogonalpolynome mit drei Parametern,

Deutsche Math. 5 (1940), 273–278, kl .

[494] W. Hahn[4], Uber orthogonalpolynome, die q-Differenzenggleichungen

genugen, Math. Nachr. 2 (1949), 4–34, kl .

[495] W. Hahn[5], Uber polynome, die gleizeitig zwei verschiedenen orthog-

onalsystement angehoren, Math. Nachr. 2 (1949), 263–278.

[496] W. Hahn[6], Beitrag zur Theorie der Heineschen Reihen, Math.Nachr. 2 (1949), 340–379.

[497] W. Hahn[7], Uber lineare Differentialgleichungen, deren Losungeneiner Rekursionsformel genugen, Math. Nachr. 4 (1951), 1–11, kl .

[498] W. Hahn[8], Uber lineare Differentialgleichungen, deren Losungeneiner Rekursionsformel genugen II, Math. Nachr. 7 (1952), 85–104,

kl .

[499] W. Hahn[9], On differential equations for orthogonal polynomials,

Funk. Ekv. 21 (1978), 1–9, k .

37

[500] W. Hahn[10], Uber Orthogonalpolynome mit besonderen Eigen-schaften, E.B. Christoffel Symp (1981), 182–189, kl .

[501] W. Hahn[11], Uber Differentialgleichungen fur Orthogonalpolynome,

Mh. Math. 95 (1983), 269–274, kl .

[502] M. Hajmirzaahmad[1], Jacobi polynomial expansions, J. Math. Anal.and Appl. 181 (1994), 35–61, kl .

[503] S. S. Han and K. H. Kwon[1], Spectral Analysis of Bessel Polynomials

in Krein space, Quaes. Math. 14 (1991), 327–335, k .

[504] S. S. Han, K. H. Kwon, and L. L. Littlejohn[1], Zeros of orthogonalpolynomials in certain discrete Sobolev spaces, preprint, k-zo,so .

[505] G. H. Hardy[1], On Stieltjes’ ‘probleme des moments’, Messenger of

Math. 47 (1917), 81–88, kl-mp .

[506] G. H. Hardy[2], On Stieltjes’ probleme des moments’, Messenger ofMath. 46 (1917), 175–182, kl-mp .

[507] M. X. He, S. Noschese, and P. E. Ricci[1], The relativistic Szego poly-nomials, Integral Transforms and Special Functions 5(1-2) (1997),

59–58, k .

[508] N. E. Heine[1], Handbuch der Kugelfunktionen, I. Reiman, Berlin,1878.

[509] E. Hendrikson[1], A Bessel type orthogonal polynomial system, Indag.

Math. 46 (1984), 407–414, kl .

[510] E. Hendriksen[2], Associated Jacobi-Laurent polynomials, J. Comp.Appl. Math. 32 (1990), 125–141, k .

[511] E. Hendriksen[3], A weight function for the associated Jacobi-Laurent

polynomials, J. Comp. Appl. Math. 33 (1990), 171–180, k .

[512] E. Hendriksen and O. Njastad[1], Positive Multipoint Pade ContinuedFractions, Proc. Edin. Math. Soc. 32 (1989), 261–269, k .

[513] E. Hendriksen and O. Njastad[2], A Favard Theorem for Rational

Functions, J. Math. Anal. Appl. 142 (1989), 508–520, k .

[514] E. Hendrikson and H. van Rossum[1], Semi-classical orthogonal poly-nomials, Lect. Notes in Math. No. 1171, Springer-Verlag (1985), 354–

361, kl-sv .

[515] E. Hendrikson and H. van Rossum[2], A Pade type approach to non-classical orthogonal polynomials, J. Math. Anal. Appl. 106 (1985),

237–248, kl .

38

[516] Sangwoo Heo and Yuan Xu [1], Constructing Cubature formulae forthe sphere and for the triangle, k .

[517] J. R. Higgins[1], Completeness and basic properties of sets of special

functions, Cambridge Univ. Press, Cambridge, 1977.

[518] E. H. Hildebrandt[1], Systems of polynomials connected with the

Charlier expansions and the Pearson differential and difference equa-tions, Ann. Math. Statistics 2 (1931), 379–439, kl-do .

[519] E. H. Hildebrandt and Schoenberg[1], On linear functional operatorsand the moment problem, Ann. of Math. 34 (1933), 317–328, mo .

[520] E. Hille, G. Szego, and J. D. Tamarkin[1],On some generalizations of

a theorem of A. Markoff, Duke Math. J. 3 (1937), 729–739, kl-pi .

[521] J. T. Holdeman[1], A method for the approximation of functions de-

fined by formal series expansions in orthogonal polynomials, ? (1968),275–287, kl .

[522] M. Horvath[1], Some saturation theorems for classical orthogonal ex-pansions I, Periodica Math. Hung. 22(1) (1991), 27–60, kl .

[523] V. Hosel and R. Lasser[1], A Wiener Theorem for Orthogonal Poly-

nomials, Journal of Functional Analysis 133 (1995), 395–401, k .

[524] F. T. Howard[1], Sums of powers of the zeros of the Bessel polyno-

mials, Mathematika 37 (1990), 305–315, k-zo .

[525] A. G. Howson and C. P. E. Brown[1], Orthogonality of Bessel Func-

tions, Monthly M.A.A. (1962), 793–794, k .

[526] E. K. Ifantis[1], A Criterion for the Nonuniqueness of the Measureof Orthogonality, J. Approx. Th. 89 (1997), 207–218, k .

[527] E. K. Ifantis and P. N. Panagopoulos[1], On the zeros of a classof polynomials defined by a three term recurrence relation, J. Math.

Anal. and Appl. 182 (1994), 361–370, kl-zo .

[528] E. K. Ifantis and P. D. Siafarikas[1], On the zeros of a class of poly-

nomials including the generalized Bessel polynomials, J. Comp. Appl.Math. 49 (1993), 103–109, kl .

[529] E. K. Ifantis and P. D. Siafarikas[2], Differential inequalities andmonotonicity properties of the zeros associated Laguerre and Hermite

polynomials, Ann. Numer. Math. 2 (1995), 79–91, k .

[530] M. Igarashi and T. Ypma[1], Relationships between order and effi-ciency of a class of methods for multiple zeros of polynomials, J.

Comp. Appl. Math. 60 (1995), 101–113, k-zo .

39

[531] A. Iserles, P. E. Koch, S. P. Nφrsett, and J. M. Sanz-Serna[1], Onpolynomials orthogonal with respect to certain Sobolev inner products,

J. Approx. Th. 65 (1991), 151–175, kl-so .

[532] A. Iserles, P. E. Koch, S. P. Nφrsett, and J. M. Sanz-Serna[2], Or-thogonality and approximation in a Sobolev space, in Algorithms for

Approximation(J. C. Mason and M. G. Coxdds, PP. 117-124, Chap-man and Hall, London 1990), so .

[533] A. Iserles and L. L. Littlejohn[1], Polynomials orthogonal in a SobolevSpace, Berlin, 1994.

[534] A. Iserles and S. P. Nφrsett[1], Christoffel-Darboux-Type Formulae

and a Recurrence for Biorthogonal Polynomials, Constr. Approx. 5(1989), 437–453, k-bp .

[535] A. Iserles and S. P. Nφrsett[2], Order Stars and Rational Approxi-mants to exp(z), Applied Numerical Mathematics 5 (1989), 63–70,

k .

[536] A. Iserles and E. B. Saff[1], Zeros of expansions in orthogonal poly-nomials, Math. Proc. Comb. Phil. Soc. 105 (1989), 559–573, k-zo .

[537] M. E. H. Ismail[1], Orthogonal polynomials in a certain class of poly-nomials, Bull. Inst. Polit. din Iasi 20 (1974), 45–50.

[538] M. E. H. Ismail[2], Complete monotonicity of modified Bessel func-

tions, Proc. Amer. Math. Soc. 108(2) (1990), 353–361, kl .

[539] M. E. H. Ismail[3], Monotonicity of zeros of orthogonal polynomials,

in q-series and partitions, Ed. D. Stunton Springer-Verlag, N. Y.(1989), 177–190, kl-zo .

[540] M. Ismail, D. Kim, and D. Stanton[1], Lattice Paths and Positive

Trigonometric Sums, Preprint, k .

[541] M. E. H. Ismail, J. Letessier, G. Valent, and J. Wimp[1], Two

Families of Associated Wilson Polynomials, Can. J. Math. XLII(4)(1990), 659–695, k .

[542] M. E. H. Ismail and X. Li[1], On Sieved Prthogonal Polynomials IX:

Orthogonality on the Unit Circle, Pac. J. Math. 153(2) (1992), 289–297, kl .

[543] M. E. H. Ismail and C. A. Libis[1], Contiguous Relations, Basic Hy-pergeometric Functions, and Orthogonal Polynomials, I, J. Math.

Anal. Appl. 141 (1989), 349–372, k .

40

[544] M. E. H. Ismail, D. R. Masson, and M. Rahman[1], Complex weightfunctions for classical orthogoanl polynomials, Can. J. Math. 43(6)

(1991), 1294–1308, k .

[545] M. E. H. Ismail and M. E. Muldoon[1], A discrete approach to mono-tonicity of zeros of orthogonal polynomials, Trans. Amer. Math. Soc.

323(1) (1991), 65–78, kl-zo .

[546] M. E. H. Ismail and M. Rahman[1], The Associated Askey-Wilson

Polynomials, Trans. Amer. Math. Soc. 328(1) (1991), 201–237, k .

[547] M. E. H. Ismail and M. Rahman[2], Ladder Operators for szego Poly-nomilas and Related Biorthogonal Rational Functions, Proc. Amer.

Math. Soc. 124(7) (1996), 2149–?, ksz .

[548] M. E. H. Ismail and D. Stanton[1], On the Askey-Wilson and Rogers

Polynomials, Can. J. Math. XL(5) (1988), 1025–1045, k .

[549] K. G. Ivanov, E. B. Saff, and V. Totik[1], On the behavior of zerosof polynomials of best and near-best approximation, Can. J. Math.

43(5) (1991), 1010–1021, kl-zo .

[550] D. Jackson[1], Series of orthogonal polynomials, ? (1932), 97–114,

kl .

[551] D. Jackson[2], Formal properties of orthogonal polynomials in twovariables, Duke Math. J. 2 (1936), 423–434, k-sv .

[552] D. Jackson[3], Orthogonal polynomials on a plane curve, Duke Math.J. 3 (1937), 228–236, k-co .

[553] D. Jackson[4], Orthogonal Trigonometric Sums, Amer. Math. Soc.

(1932), 115–146, k .

[554] V. K. Jain[1], On orthogonal polynomials of two variables, Indian J.

Pure Appl. Math. 11 (1980), 492–501, kl-sv .

[555] J. W. Jayne[1], Recursively generated polynomials and Geronimus’version of orthogonality on a contour, SIAM J. Math. Anal. 19(3)

(1988), 676–686, kl-co .

[556] R. I. Jewett[1], Spaces with an Abstract Convolution of Measures,

Advances in Math. 18 (1975), 1–101, k-hg(r) .

[557] N. Jhunjhunwala[1],Weighted Landau-type inequalities, J. Comp. and

Appl. Math 57 (1995), 323–328, kl-pi .

41

[558] W. B. Jones, O. Njastad, and E. B. Saff[1], Szego polynomials asso-ciated with Wiener-Levinson filters, J. Comp. and Appl. Math. 32

(1990), 387–406, kl .

[559] W. B. Jones, O. Njastad, and W. J. Thron[1], Continued fractions

and strong Hamberger moment problems, Proc. London math. Soc.47(3) (1983), 363–384, kl-mp .

[560] W. B. Jones, O. Njastad, and W. J. Thron[2], Moment theory, Or-

thogonal polynomials, Quadratune, and continued fractions associatedwith the unit circle, Bull. London Math. Soc. 21 (1989), 113–152,

kl-mp .

[561] W. B. Jones, W. J. Thron, and O. Njastad[1], Orthogonal LaurentPolynomials and Strong Hambuger Moment problem, J. Math. Anal.

Appl. 98(2) (1984), 528–554, kl-mp .

[562] W. B. Jones, W. J. Thron, and H. Waadeland[1], A strong Stieltjesmoment problem, Tran. Amer. Math. Soc. 261(2) (1980), 503–528,

kl-mp .

[563] A. Jonsson[1], Markov’s inequality and zeros of orthogonal polynomi-als on Fractal sets, J. Approx. Theory 78 (1994), 87–97, kl-pi,zo .

[564] I. Joo and L. Szili[1],Weighted (0, 2)-interpolation on the roots of Ja-

cobi Polynomials, Acta Math. Hungar. 66 (1995), 25–50, kl-qd .

[565] H. Joung[1], Inequalities for Generalized Polynomials, ????, k-pi .

[566] I. H. Jung, K. H. Kwon, D. W. Lee, and L. L. Littlejohn[1], Sobolev

orthogonal polynomials and spectral differential equations, Trans.Amer. Math. Soc. 347 (1995), 3629–3643, k-so .

[567] I. H. Jung, K. H. Kwon, D. W. Lee, and L. L. Littlejohn[2], Differ-

ential equations and Sobolev orthogonality, J. Comp. Appl. Math. 65(1995), 173–180, k-so .

[568] I. H. Jung, K. H. Kwon, and G. J. Yoon[1], Differential Equations

of Infinite Order for Sobolev-type Orthogonal Polynomials, J. Comp.Appl. Math. 78 (1997), 273–293, k-so .

[569] T. Kailath, A. Vieira, and M. Morf[1], Inverses of Toeplitz operators,innovations, and orthogonal polynomials, SIAM Review 20 (1978),106–119, kl .

[570] V. Kaliaguine and A. Ronveaux[1],On a system of ”classical” polyno-mials of simultaneous orthogonality, J. Comp. Appl. Math. 67 (1996),

207–217, k .

42

[571] E. G. Kalnins and W. Miller[1], Hypergeometric Expansions of HeunPolynomials, SIAM J. Math. Anal. 22(5) (1991), 1450–1459, k .

[572] E. G. Kalnins and W. Miller Jr[1], Orthogonal Polynomials on n-Spheres:Gegenbauer, Jacobi and Heun, Topics in Polynomials of one

and several Variables and their Applications edited by Th. M. Ras-sias, H. M. Srivastava and A. Yanushauskas, 299–322, k-sv .

[573] N. J. Kalton and L. Tzafriri[1], The behaviour of Legendre and Ul-

traspherical polynomials in Lp-spaces, Can. J. Math. Vol. 50 (1998),1236–1252, k .

[574] J. Ei Kamel and A. Fitouhi[1], Expansion in terms of gegenbauer poly-

nomials for solutions of a perturbed gegenbauer differential equation,Integral Transforms and Special Functions 5(3-4) (1997), 213–226,

k .

[575] Y. Kanjin[1], A Convolution Measure Algebra on the Unit Disc,Tohoku Math. J. 28 (1976), 105–115, k-hg .

[576] R. P. Kanwall and L. L. Littlejohn[1], Distributional solutions of hy-pergeometric equation, J. Math. Anal. Appl. 122(2) (198), 325–345.

[577] G. E. Karadzhov[1], Spectral asymptotics for Toeplitz matrices gen-

erated by the Poisson-Charlier polynomials, Proc. Amer. Math. Soc.114(1) (1992), 129–134, kl .

[578] G. A. Karagulyan[1],On Lp Convergence of Orthogonal Series on the

Sets of nearly Full Measure, Izvestiya Natsionalnoi Akademii ArmeniiMatematika 29(2) (1994), 50–56, kl-qd .

[579] S. Karlin and J. L. Mcgregor[1], The differential equations of birth-

and death processses, and the Stieltjes moment problem , Trans.Amer. Math. Soc. 85 (1957), 489–546, kl-mp .

[580] S. Karlin and J. L. Mcgregor[2], The Hahn polynomials, Formulas,

and an Application, Scripta Math. 26 (1963), 33–46, kl-do .

[581] S. Karlin. and G. Szego[1], On certain determinants whose elements

are orthogonal polynomials, J. Analyse Math. 8 (1961), 1–157, k .

[582] T. Kilgore[1], Optimal Interpolation with Polynomials Having FixedRoots, J. Approximation Theory 49 (1987), 378–389, k .

[583] D. S. Kim[1], On combinatorics of Al-Salam Carlitz polynomials, ???,

k .

[584] D. S. Kim[2], On combinatorics of Konhauser Polynomials, ??,

k-bp .

43

[585] D. S. Kim[3], A combinatorial approach to biorthogonal polynomials,SIAM J. DISC. MATH. 5(3) (1992), 413–421, k-bp .

[586] D. S. Kim[4], Bi-Hermite polynomials and matchings in complete

graphs, Comm. Kor. Math. Soc. 11 (1996), 43–55, k-bp .

[587] S. S. Kim and K. H. Kwon[1], Hyperfunctional Weights for Or-thogoanl Polynomials, Results in Math. 18 (1990), 273–281, k .

[588] S. S. Kim and K. H. Kwon[2], Generalized weights for orthogonalpolynomials, Diff. and Int. Equations 4 (1991), 601–608, k .

[589] D. H. Kim, K. H. Kwon, F. Marcellan, and S. B. Park[1], Sobolev-

Type Orthogonal Polynomials and Their Zeros, ??, k-so .

[590] A. Knopfmacher, D. S. Lubinsky, and P. Nevai[1], Freud’s conjecture

and approximation of reciprocals of weights by polynomials, Constr.Approx. 4 (1988), 9–20, k .

[591] P. E. Koch[1], An extension of the theory of orthogonal polynomials

and Gaussian quadrature to trigonometric and hyperbolic polynomi-als, J. Approx. Theory 43(2) (1985), 157–177.

[592] J. Koekoek and R. Koekoek[1], A simple proof of a differential equtionfor generalizations of Laguerre polynomials, Delft Univ. Report No.

89-15 (1989).

[593] J. Koekoek and R. Koekoek[2], On a differential equation for Koorn-

winder’s generalized Laguerre polynomials, Proc. Amer. Math. Soc.112(4) (1991), 1045–1054, kl .

[594] J. Koekoek, R. Koekoek, and H. Bavinck[1], On differential equations

for Sobolev-type Laguerre polynomials, TU Delft Report 95-79 (1995),k-so .

[595] R. Koekoek[1], Koornwinder’s generalized Laguerre polynomials andits q-analogues, Delft Univ. of Tech. Report 88-87 (1988), k .

[596] R. Koekoek[2], Generalizations of Laguerre polynomials, J. Math.

Anal. Appl. 153 (1990), 576–590, k .

[597] R. Koekoek[3], A generalization of Moak’s q-Laguerre polynomials,

Canad. J. Math. 42 (1990), 280–303, k .

[598] R. Koekoek[4], Generalizations of the classical Laguerre polynomialsand some q-analogues, Doctoral Dissertation. Delft 1990, k .

44

[599] R. Koekoek[5], On q-analogues of generalizations of the Laguerrepolynomials. In orthogonal polynomials and their applocations., C.

Brezinski et al Eds. IMACS. Annals on Comp. and Appl. Math. 9(J. C. Baltzer AG. Basel 1991), 315–320.

[600] R. Koekoek[6], The search for differential equations for orthogonal

polynomials by using computers, Delft Univ. of Tech. Report 91-55.TU Delft. (1991), kl .

[601] R. Koekoek[7], Generalizations of a q-analogue of Laguerre polyno-mials, J. Approx. Theory 69 (1992), 55–83, kl-so .

[602] R. Koekoek[8], The search for differential equations for certain sets

of orthogonal polynomials, J. Comp. Appl. Math. 49 (1993), 111–119,kl .

[603] R. Koekoek[9], Differential equations for symmetric generalized ul-traspherical polynomials, Trans. Amer. Math. Soc. 345(1) (1994),

47–72, kl .

[604] R. Koekoek and H. G. Meijer[1], A generalization of Laguerre poly-nomials, SIAM J. Math. Anal. 24(3) (1993), 768–782, kl-so .

[605] W. Koepf and D. Schmersau[1], Representations of Orthogonal Poly-nomials, preprint, k .

[606] C. G. Kokologiannaki and P. D.Slafarikas[1],Convexity of the Largest

Zero of the Ultraspherical Polynomials, Int. Transf. Spec. Fun. 4(3)(1996), 275–278, k-zo .

[607] T. H. Koornwinder[1], The addition formula for Jacobi polynomialsand the theory of orthogonal polynomials in two variables; a survey,

Math. Cent. Afd. toegepaste wisk. TW. 145 (1974), 1–17, sv .

[608] T. H. Koornwinder[2], Orthogonal polynomials in two variables whichare eigenfunctions of two algebraically independent partial differentialoperators, I,II, Proc. Kon. ned. akad. wetensch. A77 No.1(1974) ;,

Indag. Math. 36 (1974), 48–66, k-sv .

[609] T. H. Koornwinder[3], Othogonal polynomials in two variables whichare eigenfunctions of two algebraically independent partial differential

operators,III,IV, Proc. Kon. ned. akad. wetensch., A77 No.4(1974);, Indag. Math. 36 (1974), 357–381, k-sv .

[610] T. H. Koornwinder[4], Two variables analogues of the classical or-thogonal polyomials, Th. and Appl. Spec. Funct. (1975), 435–495,

k-sv .

45

[611] T. H. Koornwinder[5], Harmonics and spherical functions on Grass-man manifolds of rank two and two variable analogues of Jacobi poly-

nomials, Lect. Notes Math., vol. 571, Springer-Verlag (1977), 141–154, k-sv .

[612] T. H. Koornwinder[6], A further generalization of Krall’s Jocobi type

polynomials, Mathematisch, Centrum, Amsterdam, 1982, kl .

[613] T. H. Koornwinder[7], Orthogonal polynomials with weight function

(1−x)α(1+x)β +Mδ(x+1)+Nδ(x−1), Canad. Math. Bull. 27(2)(1984), 205–214, kl .

[614] T. H. Koornwinder[8], Meixner-Pollaczek polynomials and the

Heisenberg algebra, J. Math. Phys. 30(4) (1989), 767–769, kl-do .

[615] T. H. Koornwinder[9], Jacobi functions as limit cases of q-

ultraspherical polynomials, J. Math. Anal. Appl. 148 (1990), 44–54,kl .

[616] T. H. Koornwinder[10], Jacobi polynomials of type BC, Jack polyno-

mials, limit transitions and O(∞), ?

[617] T. H. Koornwinder[11], The Addition Formula for Little q-Legendre

Polynomials and the SU(2) Quantum Group, SIAM J. Math. Anal.22(1) (1991), 295–301, k .

[618] T. H. Koornwinder[12], A new proof of a Paley-Wiener type theorem

for the Jacobi transform, Ark. Mat. 13 (1975), 145–159, k .

[619] T. H. Koornwinder and A. L. Schwarz[1], Product Formulas and As-

socited Hypergroups for Orthogonal Polynomials on the Simplex andon a Parabolic Biangle, Constr. Approx. 13 (1997), 537–567, k .

[620] T. H. Koornwinder and I. Sprinkhuizen-Kuyper[1], Generalized power

series expansions for a class of orthogonal polynomials in two vari-ables, SIAM J. Math. Anal. 9 (1978), 457–483, k-sv .

[621] T. H. Koornwinder and G. G. Walter[1], The Finite Continuous Ja-cobi Transform and Its Inverse, J. Approx. Theory 60 (1990), 83–100,

k .

[622] M. A. Kowalski[1], Algebraic characterization of orthogonality in thespace of polynomials, ??, 101–110, kl-sv .

[623] M. A. Kowalski[2], Orthogonality and Recursion Formulas for Poly-nomials in n Variables, SIAM J. MATH. ANAL. 13(2) (1982), 316–

323, k-sv .

46

[624] M. A. Kowalski[3], The Recursion Formulas for Orthogonal Polyno-mials in n Variables, SIAM J. MATH. ANAL. 13(2) (1982), 309–315,

k-sv .

[625] A. M. Krall[1], Orthogonal polynomials through moment generating

functionals, SIAM J. Math. Anal. 9 (1978), 600–603, kl .

[626] A. M. Krall[2], Chebychev sets of polynomials which satisfy an ordi-nary differntial equation, SIAM Rev. 22(4) (1980), 436–441, k .

[627] A. M. Krall[3],On complex orthogonality of Legendre and Jacobi poly-

nomials, Mathematica 22 (45), No. 1 (1980), 59–65, kl-co .

[628] A. M. Krall[4], Orthogonal polynomials satisfying fourth order dif-

ferntial equations, Proc. Royal Soc. Edin. 87(A) (1981), 271–288,kl .

[629] A. M. Krall[5], On the generalized Hermite polynomials {H(µ)n }∞n=0,

µ < −12 , Indiana Univ. Math. J. 30 (1981), 73–78, k .

[630] A. M. Krall[6], The Bessel Polynomial moment problem, Acta Math.Acad. Sci. Hungaricae 38 (1981), 105–107, kl-mp .

[631] A. M. Krall[7], On the moments of orthogonal polynomials, Rev.

Roum. Math. Pures et Appl. 27 (1982), 359–362, kl .

[632] A. M. Krall[8], Spectral Analysis for the Generalized Hermite Poly-

nomials, Trans. Amer. Math. Soc. 344(1) (1994), 155–172, kl .

[633] A. M. Krall[9], Left definite theory for second order differential oper-ators with mixed boundary conditions, ??, kl .

[634] A. M. Krall[10], A review of orthogonal polynomials satisfying bound-

ary value problems, ??, 73–97, kl-sa .

[635] A. M. Krall[11], On whether a set of polynomials is orthogonal, ??,

k .

[636] A. M. Krall[12], H1 Convergence of Fourier Integrals, Preprint,

k-sa(r) .

[637] A. M. Krall[13], On Boundary Values for the Laguerre Operator inIndefinite Inner Product Spaces, J. Math. anal. Appl. 85 (1982), 406–

408, k-sa(r) .

[638] A. M. Krall[14], Laguerre Polynomial Expansions in Indefinite In-ner Product Spaces, J. Math. Anal. Appl. 70 (1979), 267–279,

k-sa(r) .

47

[639] A. M. Krall, W. N. Everitt, and L. L. Littlejohn[1], The LegendreType Operator In a Left Definite Hilbert Space, Quaes. Math. 15

(1992), 467–475, kl .

[640] A. M. Krall, W. N. Everitt, L. L. Littlejohn, and V. P. Onyango-

Otieno[1], The Laguerre Type Operator In a Left Definite Hilbert

Space, J. Math. Anal. Appl. 192 (1995), 460–468, k-sa(r) .

[641] A. M. Krall, R. P. Kanwal, and L. L. Littlejohn[1], Distributional

solutions of ordinary differntial equations, Canad. Math. Soc. Conf.Proc. 8 (1987), 227–246, k .

[642] A. M. Krall and L. L. Littlejohn[1], Orthogonal polynomials and sin-gular Strum-Liouville systems I, Rocky Mt. J. Math. 16 (1986), 435–

479, k .

[643] A. M. Krall and L. L. Littlejohn[2], Strum-Liouville operators andorthogonal polynomials, Canad. Math. Soc. Conf. Proc. 8 (1987),

247–260, kl .

[644] A. M. Krall and L. L. Littlejohn[3],On the classification of differential

equations having orthogonal polynomial solutions II, Ann. Mat. PuraAppl. 149 (1987), 77–102, kl .

[645] A. M. Krall and L. L. Littlejohn[4],Orthogonal poynomials and higherorder singular Sturm-Liouville systems, Acta. Appl. Math. 17 (1989),

99–170, k .

[646] A. M. Krall and A. Zettl[1], Singular Self-Adjoint Sturm-Liouville

Problems II : Interior Singular Point, SIAM J. MATH. ANAL. 19(5)

(1988), 1135–1141, k-sa(r) .

[647] A. M. Krall and A. Zettl[2], Singular Self-Adjoint Sturm-LiouvilleProblems , Differential and Integral Equations 1(4) (1988), 423–432,

k-sa(r) .

[648] H. L. Krall[1], On derivatives of orthogonal polynomials, Bull. Amer.Math. Soc. 42 (1936), 423–428, kl .

[649] H. L. Krall[2], On higher derivatives of orthogonal polynomials, Bull.Amer. Math. Soc. 42 (1936), 867–870, kl .

[650] H. L. Krall[3], Certain differential equations for Tchebycheff polyno-mials, Duke Math. J. 4 (1938), 705–718, kl .

[651] H. L. Krall[4], On orthogonal polynomials satisfing a certain fourthorder differential equation, Penn. State Coll. Studies No.6, The Penn

St. Coll., State Coll., Pa (1940), kl .

48

[652] H. L. Krall[5], On derivatives of orthogonal polynomials II, Bull.Amer. Math. Soc. 47 (1941), 261–264, k .

[653] H. L. Krall[6], Self-adjoint differential Expressions, Amer. Math.

Monthly 67 (1960), 876–878, kl .

[654] H. L. Krall and O. Frink[1], A new class of orthogonal polynomilas:The Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949), 100–115,kl .

[655] H. L. Krall and I. M. Sheffer[1], A characterization of orthogonal

polynomials, J. Math. Anal. Appl. 8 (1964), 232–244, kl .

[656] H. L. Krall and I. M. Sheffer[2], On pairs of related orthogonal poly-nomial sets, Math. Z. 86 (1965), 425–450, kl .

[657] H. L. Krall and I. M. Sheffer[3], Differential equations of infiniteorder for orthogonal polynomials, Ann. Mat. Pura Appl. 74 (1966),

135–172, k .

[658] H. L. Krall and I. M. Sheffer[4], Orthogonal polynomials in two vari-ables, Ann. Mat. Pura Appl.(4) 76 (1967), 325–376, kl-sv .

[659] M. G. Krein[1], The ideas of P.L. Cebysev and A.A. Markov in thetheory of limiting values of integrals and their further development,

A.M.S. Trans. Series 2 12 (1959), 1–22, k .

[660] A. Kroo[1], On Lacunary sums of Orthogonal Polynomials, J. Math.

Anal. Appl. 185 (1994), 107–117, k .

[661] A. Kroo and F. Peherstorfer[1],On the distribution of extremal pointsof general Chebyshev polynomials, Trans. Amer. Math. Soc. 329(1)

(1992), 117–130, kl .

[662] A. B. J. Kuijlaars[1], Chebyshev-type quadrature and zeros of Faber

polynomials, J. Comp. Appl. Math. 62 (1995), 155–179, k-zo,qd .

[663] A. B. J. Kuijlaars[2], Chebyshev-type quadrature for analytic weightson the circle and the interval, Indag. Mathem. 6(4) (1995), 419–432,kl .

[664] A. B. J. Kuijlaars[3], Weighted Approximation with Varying

Weights:The Case of a Power-Type Singularity, J. Math. Anal. Appl.204 (1996), 409–418, k-pa .

[665] S. Lewanowicz[2], On the fourth-order difference equation for the as-sociated Meixner polynomials, J. Comp. Appl. Math. 80 (1997), 351–

358, k .

49

[666] D. C. Lewis[1], Polynomial least square approximations, Amer. J.Math. 69 (1947), 273–278, k .

[667] D. C. Lewis[2], Orthogonal functions whose derivatives are also or-

thogonal, Rend. Circ. Mat. Palermo(2) 2 (1953), 159–168.

[668] D. C. Lewis[3], Polynomial least Square Approximations, Amer. J.Math. 69 (1947), 273–278, k .

[669] S. Li [1], On Mean Convergence of Lagrange-Kronrod Interpolation,in Approximation and Computation, (Int’al Series of Num. Math.

Vol. 119), R. Zahar Ed., Birkhausen, Boston (1994), 383–396, k .

[670] X. Li and F. Marcellan[1], On polynomials Orthogonal with respectto a Sobolev inner product on th Unit Circle, Pacific J. of Math. 175(1996), so,sz .

[671] C. Libis and R. Huotari[1], Minimal interpolation, pre-orthogonalpolynomials and Christoffel functions, preprint (1995), kl .

[672] R. Lidl[1], Tschebyscheff polynome in mehreren variablen, J. Reine

Agnew. Math. 273 (1975), 178–198.

[673] L. L. Littlejohn[1], The Krall polynomials: A new class of orthogonalpolynomials, Quaes. Math. 5 (1982), 255–265, kl .

[674] L. L. Littlejohn[2], Symmetry factors for differential equations, Amer.Math. Monthly 90 (1983), 462–464, kl .

[675] L. L. Littlejohn[3], Weight distributions and moments for a certain

class of orthogonal polynomials, Proc. Conf. Ord. Part. Diff. Eqs(1984), 413–419, k .

[676] L. L. Littlejohn[4], The Krall polynomials as solutions to a secondorder differential equation, Canad. Math. Bull. 26 (1983), 410–417,

kl .

[677] L. L. Littlejohn[5], On the classification of differential equationshaving orthogonal polynomial solutions, Ann. Mat. Pura Appl. 138(1984), 35–53, kl .

[678] L. L. Littlejohn[6], An application of a new theorem on orthogonal

polynomials and differential equations, Quaes. Math. 10 (1986), 49–61, kl .

[679] L. L. Littlejohn[7],Orthogonal Polynomial Solutions to Ordinary andPartial Differential Equations, Proc. 2nd International Symposium

Orthogonal Polynomials and Their Applications, Segovia, Spain,

50

1986, Lect. Notes Math. No. 1329, Springer-Verlag (1988), 98–124,kl-sv .

[680] L. L. Littlejohn[8], Symmetry factors for differential equations withapplications to orthogonal polynomials, Acta. Math. Hung. 56(1-2)

(1990), 57–63, kl .

[681] L. L. Littlejohn, W. N. Everitt, and S. C. Williams[1], Orthogonal

Polynomials in Weighted Sobolev Spaces, Lect. Notes in Pure andAppl. Math., vol. 117, Orthogonal Polynomials and their Applica-tions J. Vinuesa ed., Marcel Dekker (1989), 53–72, k-so .

[682] L. L. Littlejohn and R. P. Kanwal[1], Distributional Solutions ofthe Hypergeometric Differential Equation, J. Math. Anal. Appl. 122

(1987), 325–345, kl .

[683] L. L. Littlejohn and A. M. Krall[1], A singular sixth order differen-

tial equation with orthogonal polynomial eigenfunctions, Lect. NotesMath. 964, Springer-Verlag (1983), 435–444, kl .

[684] L. L. Littlejohn and A.M. Krall[2], Orthogonal polynomials and sin-

gular Sturm-Liouville systems, I , Rocky Mountain J. Math. 16(3)(1986), 435–479, kl .

[685] L. L. Littlejohn and A.M. Krall[3], Orthogonal Polynomials andHigher Order Singular Sturm-Liouville Systems, Acta Appl. Math.

17 (1989), 99–170, k .

[686] L. L. Littlejohn and D. Race[1], Symmetric and symmetrisable dif-

ferential expressions, Proc. London Math. Soc. 60 (1990), 344–364,kl .

[687] L. L. Littlejohn and S. D. Shore[1], Nonclassical orthogonal polynomi-

als as solutions to second order differential equations, Canad. Math.Bull. 25 (1982), 291–295, kl .

[688] B. F. Logan[1], The recovery of orthogonal polynomials from a sumof squares, SIAM J. Math. Anal. 21(4) (1990), 1031–1050, kl .

[689] G. Lopez[1], Asymptotics of Polynomials Orthogonal with Respect to

Varying Measures, Constr. Approx. 5 (1989), 199–219, k .

[690] G. Lopez[2], On the Convergence of the Pade Approximants for Mero-

morphic Functions of Stieltjes Type, Math. USSR Sbornik 39(2)(1981), 281–288, k .

[691] A. C. Lopez and F. Marcellan[1], Polinomios Ortogonales y MedidasSingulares Sobre Curvas, Jornadas Hispano-Lusas de Maematicas 1

(1986), 128–139, so .

51

[692] G. Lopez, F. Marcellan, and W. van Assche[1], Relative asymptoticsfor polynomials orthogonal with respect to a discrete Sobolev inner

product, Constr. Approx. 11 (1995), 107–137, kl-so .

[693] G. Lopez, F. Marcellan, and W. van Assche[2], Sobolev-type Orthogo-nal Polynomials : How to recover the Sobolev part of the inner prod-

uct, preprint, so .

[694] S. M. Loveland, W. N. Everitt, and L. L. Littlejohn[1], Right-Definite

Spectral Theory of Self-Adjoint Differential Operators with Applica-tions to Orthogonal Polynomials, ??, kl .

[695] D. S. Lubinsky[1], On Nevai’s Bounds for Orthogonal Polynomials

Associated with Exponential Weights, J. Approx. Th. 44 (1985), 86–91, kl .

[696] D. S. Lubinsky[2], A survey of general orthogonal polynomials forweights on finite and infinite intervals, Acta Appl. Math. 10 (1987),

237–296, kl .

[697] D. S. Lubinsky[3], Singularly Continuous Measures in Nevai’s ClassM , Proc. Amer. Math. Soc. 111 (1991), 413–420, k .

[698] D. S. Lubinsky[4], An update on orthogonal polynomials and weightedapproximation on the real line, Acta Mathematicae 33 (1993), 121–

164, kl .

[699] D. S. Lubinsky[5], Jump Distributions on [−1, 1] Whose OrthogonalPolynomials Have Leading Coefficients with Given Asymptotic Be-

haviour, preprint, k .

[700] D. S. Lubinsky[6], Weierstrass’ Theorem in the Twentieth Century:

A Selection, Quaes. Math. 18 (1995), 91–130, kl .

[701] D. S. Lubinsky[7], Ideas of Weighted Polynomial Approximation on(−∞,∞), Approx. Th. VIII(1) (1995), 371–396, kpi .

[702] D. S. Lubinsky[8], Jackson and Bernstein Theorems for ExponetialWeights, Acta Math. Hurgar., to appear, k-pi .

[703] D. S. Lubinsky[9], Mean convergence of Lagrange interpolation for

exponential weights in [−1, 1], Can. J. Math. Vol. 50(6) (1998),1273–1297, k .

[704] D. S. Lubinsky and D. M. Matjila[1], Full quadrature sums for pthpowers of polynomials with Freud weights, J. Comp. Appl. Math. 60

(1995), 285–296, kl-qd .

52

[705] D. S. Lubinsky, H. N. Mhaskar, and E. B. Saff[1], Freud’s Conjecturefor Exponential Weights, Proc. Amer. Math. Soc. 15(2) (1986), 217–

221, k .

[706] D. S. Lubinsky, H. N. Mhaskar, and E. B. Saff[2], A Proof of Freud’s

Conjecture for Exponential Weights, Constr. Approx. 4 (1988), 65–83, k .

[707] D. S. Lubinsky and F. Moricz[1], The Weighted Lp-Norms of Or-thonormal Polynomials for Freud Weights, J. Approx. Th. 77 (1994),42–50, kl .

[708] D. S. Lubinsky and T. Z. Mthembu[1], Lp Markov-Bernstein In-equalities for Erdos Weights, J. Approx. Th. 65(3) (1991), 301–321,

k-pi .

[709] D. S. Lubinsky and T. Z. Mthembu[2], Orthogonal expansions and

the error of weighted polynomial approximation for Erdos weights,Numer. Funct. Anal. and Optimiz. 13 (1992), 327–347, kl .

[710] D. S. Lubinsky and E. B. Saff[1], Uniform and Mean Approxima-

tion by Certain Weighted Polynomials, with Applications, Constr.Approx. 4 (1988), 21–64, k .

[711] D. S. Lubinsky and E. B. Saff[2], Markov-Bernstein and NikolskiiInequalties and Christoffel Functions for Exponential Weights on (-

1,1), SIAM J. Math. Anal. 24(2) (1993), 528–556, k-pi .

[712] D. S. Lubinsky and V. Totik[1],Weighted polynomial approximation

with Freud weights, Constr. Approx. 10 (1994), 301–315, kl .

[713] N. N. Luzin[1], Integral and Trigonometric series in “Collected Worksof N. N. Luzin, Acad. of Sciences of the USSR 1 (1953), 48–212.

[714] A. S. Lyskova[1], Orthogonal polynomials in several variables, SovietMath. Dokl. 43 (1991), 264–268, k-sv .

[715] J. Ma, V. Rokhlin, and S. Wandzura[1], Generalized Gaus-sian quadrature rules for systems of arbitrary functions, SIAMJ.Numer.Anal. 33(3) (1996), 971–996, k-qf .

[716] R. Mach[1],Orthogonal polynomials with exponextial weight in a finiteinterval and applications to optimal model, J. Math. Physics 25(7)

(1984), 2186–2193.

[717] A. P. Magnus[1], Riccati acceleration of the Jacobi continued fractions

and Laguerre-Hahn orthogonal polynomials, Pade Approximation andits Applications, Lect. Notes in Math., 1071, Springer-Verlag (1984),

213–230.

53

[718] A. P. Magnus[2], Complexity of Sobolev Orthogonal Polynomials, J.Comp. Appl. Math. 48(1-2) (1993), 225–227, so .

[719] A. P. Magnus[3], Painleve-type differential equations for the recur-

rence coefficients of semi-classical orthogonal polynomials, ??, kl .

[720] A. P. Magnus[4], Where complex orthogonal polynomials and padedenominators meet, ??, k .

[721] A. P. Magnus and A. Ronveaux[1], Laguerre and Orthogonal Polyno-mials in 1984, Lect. Notes Math., 1171, Springer-Verlag, 1985.

[722] D. P. Maki[1], On constructing distribution functions: A bounded

denumerable spectrum with n limit points, Pacific J. Math. 22 (1967),431–452, kl .

[723] D. P. Maki[2], A note on recursively defined Orthogonal Polynomials,Pacific J. Math. 28 (1969), 611–613, kl .

[724] G. Mantica[1],Wave propagation in almost-periodic structures, Phys-

ica D 109 (1997), 113–127, k .

[725] G. Mantica[2], Quantum intermittency in almost-periodic lattice sys-

tems derived from their spectral properties, Physica D 103 (1997),576–589, k .

[726] G. Mantica[3], Fourier transforms of orthogonal polynomials os sin-gular continuous spectral measures, k .

[727] F. Marcellan[1], A Class of Matrix Orthogonal Polynomials on the

Unit Circle, Linear Algebra and its Applications 121 (1989), 233–241, l-mo .

[728] F. Marcellan[2], Szego Polynomials and Caratheodory Functions : In-verse Problems, ??, k-sz .

[729] F. Marcellan, M. Alfaro, and M. L. Rezola[1], Orthogonal polynomials

on Sobolev spaces : Old and new directions, J. Comp. Appl. Math.48 (1993), 113–131, k-so .

[730] F. Marcellan, , and W. van Assche[1], Relative asymptotics for or-thogonal polynomials with a Sobolev inner product, J. Approx. Th.

72(2) (1993), 193–209, kl-so .

[731] F. Marcellan, A. Branquinho, and J. Petronilho[1], On inverse prob-lems for orthogonal polynomials I, J. Comp. Appl. Math. 49 (1993),

153–160, k .

54

[732] F. Marcellan, A. Branquinho, and J. Petronilho[2], Classical orthog-onal polynomials : A functional approach, Acta Appl. Math. 34

(1994), 283–303, kl .

[733] F. Marcellan, J. S. Dehesa, and A. Ronveau[1], On orthogonal poly-nomials with perturbed recurrence relations, J. Comp. Appl. Math.

30 (1990), 203–212, kl .

[734] F. Marcellan and E. Godoy[1], Orthogonal polynomials on the unit

circle : distribution of zeros, J. Comp. Appl. Math. 37 (1991), 195–208, k-sz .

[735] F. Marcellan, G. Lopez, and W. van Assche[1], Relative asymptotics

for polynomials orthgonal with respect to a discrete Sobolev innerproduct, Constr. Approx. 11 (1995), 107–137, so .

[736] F. Marcellan and P. Maroni[1], Orthogonal polynomials on the unitcircle and their derivatives, Constr. Approx. 7 (1991), 341–348,

kl-sz .

[737] F. Marcellan and P. Maroni[2], Sur l’adjonction d’une masse de Diraca une forme reguliere et semi-classique, Ann. Mat. Pura. ed Appl.

IV CLXII (1992), 1–22, kl .

[738] A. Martinez-Finkelshtein F. Marcellan and J.J. Moreno-Balcazar].

[739] F. Marcellan, T. E. Perez, M. A. Pinar, and A. Ronveaux[1], General

Sobolev Orthogonal Polynomials, preprint, kl-so .

[740] F. Marcellan and J. Petronilho[1], Orthogonal Polynomials and co-

herent pairs : the classical case, Indag. Math., N. S. 6(3) (1995),287–307, k .

[741] F. Marcellan and J. Petronilho[2], On the solutions of some distri-

butional differential equations : Existence and characterizations ofthe classical moment functionals, Int. Transf. and Special functions2 (1994), 185–218, kl .

[742] F. Marcellan, J. Petronilho, T. E. Perez, and M. A. Pinar[1], What

is beyond Coherent Pairs of Orthogonal Polynomials ? , J. Comp.Appl. Math 65 (1995), 267–277, kl .

[743] F. Marcellan and I. A. Rocha[1], On semi-classical linear functionals: Integral representations, J. Comp. Appl. Math. 57 (1995), 239–249,

kl .

[744] F. Marcellan and I. A. Rocha[2], Complex Path Integral Representa-tion For Semiclassical Linear Functionals, ??, kl .

55

[745] F. Marcellan and I. Rodriguez[1], A class of matrix orthogonal poly-nomials on the unit circle, Linear Alg. and its Appl. 121 (1989),

233–241, kl-sz,mo .

[746] F. Marcellan and A. Ronveaux[1], On a class of polynomials orthog-

onal with respect to a discrete Sobolev inner product, Indag. Math.,N.S. 1(4) (1990), 451–464, kl-so .

[747] F. Marcellan and L. Salto[1], Discrete Semi-Classical Orthogonal

Polynomials, J. Difference Eqs. Appl. Vol. 4 (1998), 463–496, k .

[748] F. Marcellan and G. Sansigre[1], Orthogonal polynomials and cubic

transformations, J. Comp. Appl. Math. 49 (1993), 161–168, kl .

[749] F. Marcellan and Sansigre[2], Orthogonal Polynomials on the UnitCircle:Symmetrization and Quadratic Decomposition, J. Approx. Th.

65 (1991), 109–119, kl-sz .

[750] F. Marcellan and F. H. Szafraniec[1], Operators preserving orthogo-

nality of polynomials, Studia Mathematica 120(3) (1996), 205–218,k .

[751] F. Marcellan and C. Tasis[1], Appell orthogonal polynomials on the

unit circle, Portugaliae Math. 50(3) (1993), 335–342, k-sz .

[752] C. Markett[1], Lineralizations of the product of symmetric orthogonal

polynomials, Constr. Approx. 10 (1994), 317–338, kl .

[753] P. Maroni[1], Une generalisation du theoreme de Favard-Shohat surles polynomes orthonaux, C. R. Acad. Sci. Paris 293 (1981), 19–22,

kl .

[754] P. Maroni[2], Une caracterisation des polynomes orthogonaux semi-

classiques, C.R. Acad. Sci. Paris 301 (1985), 269–272, kl .

[755] P. Maroni[3], Prolegomenes a l’etude des polynomes orthogonauxsemi-classiques, Annal. Mat. Pura Appl. 149 (1987), 165–184, kl .

[756] P. Maroni[4], Le calcul des formes lineaires et les polynomes or-thonaux semi-classiques, Lect. Notes in Math. 1329, Springer-Verlag

(1988), 279–290, kl .

[757] P. Maroni[5], L’orthogonalite et les recurrences de polynomes d’ordresuperieur a deux, Ann. Fac. Sci. Toulouse 10 (1989), 105–139, kl .

[758] P. Maroni[6], Sur la suite de polynomes orthonaux associee a la formeu = δc + λ(x− c)−1L., Period. Math. Hungarica 21 (1990), 223–248,

kl .

56

[759] P. Maroni[7], Sur la decomposition quadratique d’une suite depolynomes orthogonaux I, Rivista di Mat. pura ed Appl. 6 (1990),

19–53, kl .

[760] P. Maroni[8], Variations autour des polynomes orthogonaux clas-siques, C.R.Acad. Sci. Paris 313 (1991), 209–212, kl .

[761] P. Maroni[9], Une theorie algebrique des polynomes orthogonaux. Ap-plication aux polynomes orthogonaux semi-classiques, Ortho. Polyn.

and their Appl., J.C. Baltzer AG, IMACS (1991), 95–130, kl .

[762] P. Maroni[10], Sur la decomposition quadratique d’une suite de

polynomes orthogonaux II, Portugaliae Math. 50 (1993), 305–329,k .

[763] P. Maroni[11], Modified classical orthogonal polynomials associated

with oscillating functions. Open problems., Innovative methods in nu-merical analysis, Bressanone, Italia (1992), to appear.

[764] P. Maroni[12], An integral representation for the Bessel form, J.Comp. Appl. Math. 57 (1995), 251–260, kl .

[765] P. Maroni[13], Polynomes orthonaux semi-classiques et equationsdifferentielles, preprint, kl .

[766] P. Maroni[14], Un example d’une suite orthogonale semi-classique de

classe un, preprint, kl .

[767] P. Maroni[15], Introduction A L’etude des δ-polynomes orthogonaux

semi-classiques, preprint, kl .

[768] P. Maroni[16], Sur quelques espaces de distributions qui sont desformes lineaires sur l’espace vectoriel des polynomes, Springer-Verlag

Lect. Notes ?, 184–194, kl .

[769] P. Maroni[17], L’orthogonalite de dimension D certains polynomes

orthogonaux “classiques” de dimension deux, preprint 89005, kl .

[770] P. Maroni[18], L’orthogonalite non reguliere et les suites de

polynomes orthogonaux semi-classiques, preprint 86005.

[771] P. Maroni[19], Sur la suite associee a une suite de polynomes, preprint86012, kl .

[772] P. Maroni[20], Variations around classical orthogonal polynomials.Connected problems, J. Comp. Appl. Math. 48 (1993), 133–155, kl .

[773] P. Maroni[21], Two dimensional orthogonal polynomials, their asso-

ciated sets and the co-recursive sets, preprint 92008, kl .

57

[774] P. Maroni[22], On a regular from defined by a pseudo-function,preprint, kl .

[775] P. Maroni[23], Tchebychev forms and their perturbed forms as second

degree forms, Ann. Numer. Math. 2 (1995), 123–143, k .

[776] C. F. Martin and D. I. Wallace[1], Quadrature Schemes for a GeneralFamily of Functions, Appl. Math. Comp. 77 (1996), ??, k-qf .

[777] A. Martines, A. Sarso, and R. Yan‘es[1], Two Approaches to theAsymptotics of the Zeros of a Class of Hypergeometric-type Poly-

nomials, Russian Acad. Sci. Sb. Math. 83 (1995), kl-zo .

[778] D.R. Masson[1], Associated Wilson Polynomials, Constr. Approx. 7(1991), 521–534, k .

[779] G. Mastroianni and P. Nevai[1], Mean Convergence of Derivatives ofLagrange Interpolation, J. Comp. Appl. Math. 34 (1991), 385–396,

kl .

[780] G. Mastroianni and D. Occorsio[1], Interlacing Properties of the Ze-ros of the Orthogonal Polynomials and Approximation of the HilbertTransform, Computers Math. Applic. 30 (1995), 155–168, k-zo .

[781] A. Mate and P. Nevai[1], Eigenvalues of finite band-width Hilbert

space operations and their application to orthogonal polynomials,Canad. J. Math. XLI (1) (1989), 106–122, kl .

[782] A. Mate and P. Nevai[2], Factorization of second order differenceequations and its application to orthogonal polynomials, Lect. Notes

in Math. 1329, 158–177, kl-do .

[783] A. Mate and P. Nevai[3], A Generalization of Poincare’s Theoremfor Recurrence Equations, J. Approx. Th. 63 (1990), 92–97, kl .

[784] A. Mate, P. Nevai, and V. Totik[1], Szego’s extremum problem on theunit circle, Annals of Mathematics 134 (1991), 433–453, kl .

[785] A. Mate, P. Nevai, and V. Totik[2], Asymptotics for the Greatest

Zeros of Orthogonal Polynomials, SIAM. Math. Anal. 17 (1986),kl-zo .

[786] K. K. Mathur and R. Srivastava[1], Pal-Type Hermite interpolationon infinite interval, J. Math. Anal. Appl. 192 (1995), 346–359, kl .

[787] H. Matsumoto[1], Quadric Hamiltonians and Associated Orthogonal

Polynomials, Journal of Functional Analysis 136 (1996), 214–225,k-sv .

58

[788] G. Matviyenko[1], On the Jacobi polynomials P(α,−k)n , preprint

(1995), kl .

[789] P. J. McCarthy[1], Characterization of classical polynomials, Portu-galiae Mathematica 20 (1961), 47–52, kl .

[790] H. G. Meijer[1], Zero distribution of orthogonal polynomials in a cer-tain discrete Sobolev space, J. Math. Anal. Appl. 172 (1993), 520–

532, kl-so,zo .

[791] H. G. Meijer[2], Coherent pairs and zeros of Sobolev-type orthogonalpolynomials, Indag. Math. N.S. 4(2) (1993), 163–176, kl-so,zo .

[792] H. G. Meijer[3], Laguerre polynomials generalized to a certain discreteSobolev inner product space, J. Approx. Theory. 73 (1993), 1–16,k-so .

[793] H. G. Meijer[4], On real and complex zeros of orthogonal polynomialsin a discrete Sobolev space, J. Comp. Appl. Math. 49 (1993), 179–191,

kl-so,zo .

[794] H. G. Meijer[5], Sobolev orthogonal polynomials with a small numberof real zeros, J. Approx. Theory 77 (1994), 305–313, k-so,zo .

[795] H. G. Meijer[6], Determination of all coherent pairs, J. Approx. The-

ory 89 (1997), 321–343, k .

[796] H. G. Meijer[7], A short history of orthogonal polynomials in a

Sobolev space I. The non-discrete case, TWI Report 95-51. TU Delft1995, so .

[797] H. G. Meijer[8], Zeros of orthogonal polynomials in a Sobolev space: continuous case I, The Symposium on Special Functions and Or-

thogonal polynomials, Delft (1992), kl-so,zo .

[798] H. G. Meijer[9], Zeros of orthogonal polynomials in a Sobolev space: continuous case II ( on coherent pairs ), Workshop on Orthogonal

polynomials in Sobolev spaces, Madrid (1992), kl-so,zo .

[799] H. G. Meijer[10], Zero Distribution of Orthogonal Polynomials in aCertain Discrete Sobolev Space, J. Math. Anal. Appl. 172 (1993),

520–532, k-so,zo .

[800] H. G. Meijer[11], Determination of All Coherent Pairs, J. Approx.Th. 89 (1997), 321–343, k .

[801] H. G. Meijer and H. Bavinck[1], An ultraspherical generalization ofKrall-Jacobi type polynomials, In Monograph. Acad. Ci. Zaragoza 1

(1988), 103–108.

59

[802] H. G. Meijer and M.G. Bruin[1], Zeros of orthogonal polynomialsin a Sobolev space : continuous case II, Workshop on orthogonal

polynomials in Sobolev spaces, Madrid (1992), l-zo,so .

[803] H. G. Meijer, J. Vreeburg, and M.G. Bruin[1], Zeros of orthogonal

polynomials in a Sobolev space : continuous case I, ?? ?? (??), ??,zo,so .

[804] J. Meixner[1], Orthogonale Polynomsysteme mit einer besonderenGestalt der erzeugenden Funktion, J. London Math. Soc. 9 (1933),

6–13, kl .

[805] J. Meixner[2], Symmetric systems of orthogonal polynomilas, Arch.Rat. Mech. Anal. 44 (1972), 69–75.

[806] A. M. Mercer[1], The Distribution of the Zeros of Certain OrthogonalPolynomials, J. Approx. Th. 60 (1990), 183–187, k-zo .

[807] A. M. Mercer[2], A Note on the Zeros Distribution of Orthogonal

Polynomials, J. Approx. Th. 64 (1991), 238–242, k-zo .

[808] J. C. Merlo[1], On orthogonal polynomilas and second order linear

difference operators, Annales Polonici Math. 19 (1967), 69–79, do .

[809] H.N. Mhaskar and E.B. Saff[1], Extremal Problems for Polynomialswith Exponential Weights, Trans. Amer. Math. Soc. 285 (1984), 203–

234, k .

[810] H.N. Mhaskar and E.B. Saff[2], On the Distribution of Zeros of Poly-

nomials Orthogonal on the Unit Circle, J. Approx. Th. 63 (1990),30–38, k-zo,sz .

[811] H.N. Mhaskar and E.B. Saff[3], Where Does the Sup Norm of aWeighted Polynomial Live? (A Generalization of Incomplete Poly-

nomials), Constr. Approx. 1 (1985), 71–91, k .

[812] M.P. Mignolet[1], Matrix polynomials orthogonal on the unit circleand accuracy of autoregressive models, J. Comp. Appl. Math. 62

(1995), 229–238, k-mo,sz .

[813] M. Mikolas[1], Common characterization of the Jacobi, Laguerre

and Hermite-like polynomials (in Hungarian), Matematikai Lapok7 (1956), 238–248.

[814] W. E. Milne[1], On The Maximum Absolute Value of The Derivateof e−x2

Pn(x), Trans. Amer. Math. Soc. 33 (1931), 143–146, kl-pi .

60

[815] G. V. Milovanovic[1], An extremal problem for polynomials with non-negative coefficients, Proc. Amer. Math. Soc. 94 (1985), 423–426,

kl-pi .

[816] G. V. Milovanovic[2], Various Extremal Problems of Markov’s Typefor Algebraic Polynomials, FACTA UNIVERSITATIS (NIS), Ser.

Math. Inform. 2 (1987), 7–28, k-pi .

[817] G. V. Milovanovic[3], Expansions of the Kurepa Function, Publica-

tions De L’institut Mathematique Nouvelle serie,tome 57(71),Duro Kurepa memorial volume (1995), 81–90, k .

[818] G. V. Milovanovic[4], Some Nonstandard Types of Orthogonality (a

Survey), FILOMAT(NIS), Algebra, Logic & Discrete Mathematics9:3 (1995), 517–542, k .

[819] G. V. Milovanovic[5], A Class of Orthogonal Polynomials on the Ra-dial Rays in the Complex Plane, J. Math. Anal. Appl. 206 (1997),

121–139, k-co .

[820] G. V. Milovanovic and M.S. Petkovic[1], Extremal problem forLorentz classes of nonnegative polynomials in L2 metric with Jacobi

weight, Proc. Amer. Math. Soc. 102 (1988), 283–289, kl-pi .

[821] G. V. Milovanovic and P. M. Rajkovic[1], On polynomials orthogonal

on a circular arc, J. Comp. Appl. Math. 51 (1994), 1–13, kl-sz .

[822] G. V. Milovanovic and P. M. Rajkovic[2], Complex Orthogonal Poly-nomials with the Hermite Weight, UNIV. BEOGRAD.PUBL. ELEK-

TROTEHN. FAK Ser. Mat. 6 (1995), 63–73, k .

[823] G. V. Milovanovic and L. Z. Rancic[1], An Estimate for Coeffi-

cients of Polynomials in L2 Norm. II, PUBL. DE L’INSTITUTMATHEMATIQUENouvelle serie, tome 58(72) (1995), 137–142,

k .

[824] K. Mimachi andM. Noumi[1],A reproducing kernel for nonsymmetric

macdonald polynomials, Duke Math. J. 91(3) (1998), 621–, k .

[825] A. Mingarelli and A. M. Krall[1], Laguerre Type Polynomials Un-der an Indefinite Inner Product, Acta Math. Acad. Sci. Hungar. 40

(1982), 237–239, kl .

[826] A. Mingarelli and A. M. Krall[2], Jacobi-Type Polynomials Under an

Indefinite Inner Product, Proc. Royal Soc. Edinburgh 90A (1981),147–153, k-sv .

61

[827] A. Mingarelli and A. M. Krall[3], Legendre Type Polynomials Underan Indefinite Inner Product, SIAM J. MATH. ANAL. 14(2) (1983),

399–402, k .

[828] L. Mirsky[1], An inequality of the Markov-Berstein type for polyno-mials, SIAM J. Math. Anal. 14(5) (1983), 1004–1008, kl-pi .

[829] A. F. Moreno and F. Marcellan[1], Strong asymptotics on the sup-port of the measure of orthogonality for polynomials orthogonal with

respect to a discrete sobolev inner product, Methods and Appl. Anal.4(1) (1997), 53–66, k .

[830] F. Peherstorfer A. F. Moreno, F. Marcellan and R. Sreinbauer[1],

Strong asymptotics on the support of the measure of orthogonalityfor polynomials orthogonal with respect to a discrete sobolev inner

product on the unit circle, Ren. Del Circ. Mat. Di Pal. Series II,Suppl. 52 (1998), 411–425, k .

[831] R. D. Morton and A. M. Krall[1], Distributional weight functionsfor orthogonal polynomials, SIAM J. Math. Anal. 9 (1978), 604–626,

kl .

[832] Y. E. Muneer[1], On Lagrange and Hermite Interpolation. I, ActaMath. Hung. 49(3-4) (1987), 293–305, k .

[833] B. Nagel[1],The relativistic Hermite polynomial is a Gegenbauer poly-nomial, J. Math. Phys. 35 (1994), 1549–1554, k .

[834] P. Natalini and P. E. Ricci[1], The Moments of the Density of Zeros

for the relativistic Hermite and Laguerre Polynomials, ComputersMath. Applic. 31(6) (1996), 87–96, k-zo .

[835] P. Nevai[1], Orthogonal Polynomials defined by a Recurrence Rela-tion, Trans. Amer. Math. Soc. 250 (1979), 369–384, kl .

[836] P. Nevai[2], Bernstein’s Inequality in Lp for 0 ≤ p < 1, J. Apporx.Th. 27 (1979), 239–243, kl .

[837] P. Nevai[3], Asymptotics for orthogonal polynomials associated with

exp(−x4), SIAM J. Math. Ana. 15(6) (1984), 1177–1187, k .

[838] P. Nevai[4], A new class of orthogonal polynomials, Proc. Amer.Math. Soc. 91(3) (1984), 409–415, kl .

[839] P. Nevai[5], Mean Convergence of Lagrange Interpolastion III, Trans.Amer. Math. Soc. 282(2) (1984), 669–698, kl .

62

[840] P. Nevai[6], Solution of Turan’s Problem on Divergence of LagrangeInterpolation in Lp with p > 2, Journal of Approximation Theory 43

(1985), 190–193, kl .

[841] P. Nevai[7], Exact bounds for orthogonal Polynomials Associated withExponential weights, J. Approx. Th. 44 (1985), k .

[842] P. Nevai[8], Geza Freud, Orthogonal Polynomials and ChristoffelFunctions. A Case Srudy, J. Approx. Th. 48 (1986), 3–167, kl .

[843] P. Nevai[9], Orthogonal Polynomials, Measures and Recurrences on

the Unit Circle, Trans. Amer. Math. Soc. 300 (1987), 175–189,kl-sz .

[844] P. Nevai[10], Research Problems in Orthogonal Polynomials, Approx-imation Theory VI 2 (1989), 449–489, k .

[845] P. Nevai[11], Characterization of Measures Associated with Orthogo-

nal Polynomials on the Unit Circle, Rocky Mt. J. Math. 19 (1989),293–302, kl .

[846] P. Nevai[12], Hilbert Transforms and Lagrange Interpolation, J. Ap-prox. Th. 60 (1990), 360–363, k .

[847] P. Nevai and W. van Assche[1], Perturbation of Orthgonal Polynomi-

als on an Arc of the Unit Circle, Approximation Theory 83 (1995),392–422.

[848] P. Nevai and W. van Assche[2], Compact Perturbations of OrthogonalPolynomials, Pacific Journal of Mathematics 153 (1992), 163–184,

k .

[849] P. Nevai and P. Vertesi[1], Mean Convergence of Hermite-Fejer In-terpolation, J. Math. Anal. Appl. 105 (1985), 26–58, k-qf .

[850] P. Nevai, J. Zhang, and V. Totik[1], Orthogonal polynomials : Theirgrowth relative to their sums, J. Approx. Theory 67 (1991), 215–234,

k .

[851] G. Nikolov[1], On certain duffin and schaeffer type inequalities, J.Approx. Theory 93 (1998), 157–176, k .

[852] A. F. Nikiforov, S. K. Suslov, and B. B. Uvarov[1], Classical Or-thogonal Polynomials of a Discrete Variable, Springer-Verlag, Berlin,

1991, k .

[853] A. Nikiforov and V. Ouvarov[1], Elements de la theorie des fonctionsspecials, Mir, Moscow, 1976.

63

[854] O. Njastad[1], An extended Hamburger moment problem, Proc. Ed-inb. Math. Soc. 28 (1985), 167–183, kl-mp .

[855] O. Njastad[2], Unique solvability of an extended Hamburger MomentProblem, J. Math. Anal. Appl. 124(2) (1987), 502–519, kl-mp .

[856] O. Njastad[3], Multipoint Pade Approximation and Orthogonal Ra-

tional Functions, Nonlinear Numerical Methods and Rational Ap-proxition (1988), 259–270, kl-mp .

[857] O. Njastad[4], A Modified Schur Algorithm and an Extended Ham-

burger Moment Problem, Trans. Amer. Math. Soc. 327 (1991).

[858] O. Njastad and W. J. Thron[1], Unique solvability of the StrongHamburger Moment Problem, J. Austra. Math. Soc. 40 (1986), 5–

19, kl-mp .

[859] P. J. O’Hara[1], Another Proof of Bernstein’s Theorem, MAA

Monthly (1973), 673–674, kl .

[860] W. Ogawa, S. Arioka, and S. Kida[1], On orthogonal polynomials intwo variables and Gaussian curbature formulas, Math. Japonika 25

(1980), 255–277, sv .

[861] C. D. Olds[1], The simple continued fraction expansion of e, MAAMonthly 77 (1970), 968–974, kl .

[862] V. Operstein[1], A Markov-Bernstein Type Inequality for AlgebraicPolynomials in Lp, 0 < p < 1 , J. Appr. Theory 84 (1996), 139–144,k-pi .

[863] B. P. Osilenker[1], The representation of the Trilinear kernel in gen-eral orthogonal polynomials and some applications, J. Approx. The-

ory 67 (1991), 93–114, kl .

[864] K.Pan[1], Extensions of Szego’s theory of rational functions orthog-onal on the unit circle, J. Comp. Appl. Math. 62 (1995), 321–331,

k-sz .

[865] K. Pan[2], On the orthogonal rational functions with arbitrary polesand interpolation properties, J. Comp. Appl. Math. 60 (1995), 347–

355, kl .

[866] K. Pan[3], Asymptotics for orthogonal polynomials beyond the an-alytic boundary, Rocky Mountain J. Math. 26(1) (1996), 269–279,

k .

[867] K. Pan[4], On Sobolev orthogonal polynomials with coherent pairs:

The Jacobi case, J. Comp. Appl. Math. 79 (1997), 249–262, k .

64

[868] W. V. Parker[1], Sets of Complex Numbers Associated with A Matrix,??? ??? (???), 711–715, kl .

[869] N. Parhi and P. Das[1], On the zeros of solutions of nonhomogeneous

third order differential equations, Czechoslovak Math. J. 41(116)(1991), 641–652, kl-zo .

[870] T. N. L. Patterson[1], Lanczos, Gauss and the problem of moments,Quaestiones Mathemaicae 21 (1998), 49–59, k .

[871] H.L. Pedersen[1], Stieltjes Moment Problems and the Friedrichs Ex-

tension of a Positive Definite Operetor, J. Approx. Th. 83 (1995),289–307, k-mp .

[872] G. Peebles[1], Some Generalizations of Theory Orthogonal Polyno-mials, ???? (1939), 89–100, k .

[873] F. Peherstorfer[1], Orthogonal and Chebyshev polynomials on two in-

tervals, Acta Math. Hung. 55(3-4) (1990), 245–278, kl .

[874] F. Peherstorfer[2], On Bernstain-Szego orthogonal polynomials onseveral intervals. II. orthogonal polynomials with periodic recurrencecoefficients, J. Approx. Theory 64 (1991), 123–161, kl .

[875] F. Peherstorfer[3], On Tchebycheff Polynomials On Disjoint Inter-

vals, ColloquiaMathematica Societatics Janos Bolyai 49. Alfred HaarMemorial Conference, Budapest (Hungary) (1985), 737–751, k .

[876] F. Peherstorfer[4], Orthogonal Polynomials in L1-Approximation, J.Approx. Th. 52 (1988), 241–268, k .

[877] F. Peherstorfer[5], On Bernstein-Szego Orthogonal Polynomials on

Several Intervals, SIAM J. Math. Anal. 21 (1990), 461–482, k .

[878] F. Peherstorfer[6],Orthogonality of residual polynomials used in min-

imax polynomial preconditioning, Numer. Math. 71 (1995), 357–363,kl .

[879] F. Peherstorfer[7], A Special Class of Polynomials Orthogonal on the

Unit Circle Including the Associated Polynomials, Contr. Approx. 12(1996), 161–185, k-sz .

[880] F. Peherstorfer and M. Schmuckenschlager[1], Interlacing propertiesof zeros of associated polynomials, J. Comp. Appl. Math. 59 (1995),

61–78, kl-zo .

[881] F. Peherstorfer and R. Steinbauer[1], Orthogonal Polynomials onArcs of the Unit Circle, I, J. Approx. Th. 85 (1996), 140–184, k-sz .

65

[882] M.Perez and J.L.V. Malumbres[1], On completeness of orthogonalsystems and Dirac deltas, J. Comp. Appl. Math. 58 (1995), 225–231,

k .

[883] T. E. Perez[1], Polinomios Orthogonales respec to a productos deSobolev : El caso continuo, Doctoral Dissertation. Universidad de

Granada (1994), k-so .

[884] T. E. Perez and M. A. Pinar[1],Global properties of zeros for Sobolev-

type orthogonal polynomials, J. Comp. Appl. Math. 49 (1993), 225–232, kl-so,zo .

[885] T. E. Perez and M. A. Pinar[2],On Sobolev orthogonality for the gen-eralized Laguerre polynomials, J. Approx. Theory, to appear, kl-so .

[886] M. Perlstadt[1], A property of orthogonal polynomial families with

polynomial duals, SIAM J. Math. Anal. 15 (1984), 1043–1054.

[887] M. A. Pinar[1], Polinomios ortogonales tipo Sobolev : Aplicaciones,

Doctoral Dissertation Universidad de Granada. (1992), k-so .

[888] M. A. Pinar and T. Perez[1],On higher order Pade-type approximantswith some prescribed coefficients in the numerator, Num. Algor. 3

(1992), 345–352.

[889] A. Pinkus and B. Wajnryb[1],Multivariate Polynomials : A Spanning

Question, Constr. Approx. 11 (1995), 165–180, kl-sv .

[890] G. Pittaluga and L. Sacripante[1], Some Results on Laguerre Poly-nomials, Tamkang Journal of Mathenatics 19 (1988), 67–74, k .

[891] A. Pleijel[1], On Legendre’s Polynomials, New Developments in Dif-ferential Equations (1976), 175–180, k .

[892] G. Polya[1], Sur l’indetermination d’un theoreme voisin du problme

des moments, C.R. Acad. Sci. Paris 207 (1938), 708–711, mp .

[893] S. Preiser[1], An investigation of biorthogonal polynomials derivablefrom ordinary differential equations of the third order, J. Math. Anal.Appl. 4 (1962), 38–64, kl-bp .

[894] JR[1] T. E. Price, Orthogonal polynomials for nonclassical weight

functions, SIAM J. Numer. Anal. 16(6) (1979), k .

[895] J. Prorial[1], Sur une famille des polynomes a deux variables orthogo-

naux dans un triangle, Comptes Rendus Acad. Sci. Paris 245 (1957),2459–2461, sv .

66

[896] M. Putinar[1], Sur la complexification du probleme des moments, C.R.Acad. Sci. Paris, t. 314, Serie I (1992), 743–745, kl-mp .

[897] M. Rahman[1], A note on the orthogonality of Jackson’s q-Besselfunctions, Canad. Math. Bull 32(3) (1989), 369–376, kl .

[898] M. Rahman[1], Biorthogonal of a system of rational functions withrespect to a positive measure on [-1,1], SIAM J. MATH. ANAL. 22(5)(1991), 1430–1441, k-bp .

[899] Q. I. Rahman[1], On a Problem of Turan about Polynomials withCurved Majorants, Trans. Amer. Math. Soc. 163 (1972), 447–455,

kl-pi .

[900] Q. I. Rahman and A. O. Watt[1], Polynomials with a Parabolic Majo-rant and The Duffin-Schaeffer Inequality, Journal of Approximation

Theory 69 (1992), 338–354, kl-pi .

[901] E. D. Rainville[1], Special Functions, Macmillan, N.Y., 1960, k .

[902] A. S. Ranga[1], Another quadrature rule of Highest Algebraic degreeof precision, Numer.Math. 68 (1994), 283–294, l-qd .

[903] R. Rasala[1], The Rodrigues formula and polynomial differential op-

erators, J. Math. Anal. Appl. 84 (1981), 443–482, kl .

[904] A. K. Rathie and J. Choi[1], A short proof of bailey’s formula, Comm.

K.M.S., to appear, k .

[905] C. J. Rees[1], Elliptic Orthogonal Polynomials, Duke Math. J. 12(1945), 173–187, k .

[906] W. T. Reid[1], A note on the Hamburger and Stieltjes Moment prob-lems, Proc. Amer. Math. Soc. 5 (1954), 946–956, kl-mp .

[907] P. E. Ricci[1], I polinomi di Tchebycheff in piu variabili, Rend. Math.

Appl. 11 (1978), 295–327.

[908] P. E. Ricci[2], Polynomi armonici e sistemi di funzioni ortogonali in

due variabli, Rend. Marh. Appl. 2 (1982), 453–466.

[909] P. E. Ricci[3], Sul Calcolo dei Determinanti di Hankel e dei Sistemi

di Polinomi Ortonormali, Rend. di Mate. Serie VII, 10 (1990),987–994, k .

[910] P. E. Ricci[4], Sum rules for zeros of polynomials and generalized Lu-

cas polynomials, J. Math. Phys. 34(10) (1993), 4884–4891, kl-zo .

[911] M. Rietz[1], Sur le probleme des moments I, Arkiv. Matem. Astr.

Fys. 16 (1921), ?, mp .

67

[912] J. Riordan[1], Combinatorial Identities, Robert, E. Krieger, Hunting-ton, N.Y., 1979.

[913] L. Rodman[1], Orthogonal matrix polynomials, preprint, kl-mo .

[914] A. M. Finkelshtein and E. T. Gimenez[1] D. B. Rolania, G. L. Lago-

masino, On the domain of convergence and poles of complex j-fractions, J. Appr. Theory 93 (1998), 177–200, kl .

[915] M. V. Romanovski[1], Sur quelques classes nouvelles de polynomesorthogonaux, C.R. Acad. Sci. Paris 188 (1929), 1023–1025, kl .

[916] M. V. Romanovski[1], Sur quelques classes nouvelles de polynomes

orthogonaux, C.R. Acad. Sci. Paris 188 (1929), 1023–1025, kl .

[917] A. Ronveaux[1], Polynomes orthogonaux dont les polynomes derives

sont quasi orthogonaux, C.R. Acad. Sc. Paris 289 (1979), 433–436,kl .

[918] A. Ronveaux[2], Discrete semi-classical orthogonal polynomials :

Generalized Meixner, J. Appr. Th. 46 (1986), 403–407, kl-do .

[919] A. Ronveaux[3], Sur l’equation differentielle du second ordre satisfaite

par une classe de polynomes orthogonaux semi-classiques, C.R. Acad.Sci. Paris 305 (1987), 163–166, kl .

[920] A. Ronveaux[4], Fourth-order differential equations for numeratorpolynomials, J. Physics. A : Math. Gen. 21 (1988), 749–753, kl .

[921] A. Ronveaux[5], Some 4th order differential equations related to clas-

sical orthogonal polynomials, Proc. VIGO Symp. on Orthogonal poly-nomials, Univ. de Santiago (1989), 159–169, k .

[922] A. Ronveaux[6], Quasi-orthogonality and differential equations, J.Comp. Appl. Math. 29 (1990), 243–248, kl .

[923] A. Ronveaux[7], Recent trends in the theory of orthogonal polynomials

- Physical Insights, Physicalia Mag. 12 (1990), 23–37, kl .

[924] A. Ronveaux[8], Sobolev inner product - explicit representation of thecorresponding orthogonal polynomials, preprint 1991, so .

[925] A. Ronveaux[9], On a ”first integral” relating classical orthogo-nal polynomials and their numerator polynomials, Simon Steven 66

(1992), 159–171, kl .

[926] A. Ronveaux[10], Sobolev inner products and orthogonal polynomialsof Sobolev type, Numer. Algor. 3 (1992), 393–400, kl-so .

68

[927] A. Ronveaux[11], General Sobolev orthogonal polynomials, preprint,so .

[928] A. Ronveaux and W. van Assche[1], Upward extension of the Jacobimatrix for orthogonal polynomials, preprint (1995), kl .

[929] A. Ronveaux, Y. G. Belliere, and J. L. Harpigny[1], Polynomes or-

thogonaux classiques a roids discrete compilation, preprint (1985).

[930] A. Ronveaux and S. Belmehdi[1], Interlacing properties of zeros forthe derivative, associated and adjacent of orthogonal polynomials,

semi-classical and classical cases, preprint, kl-zo .

[931] A. Ronveaux, S. Belmehdi, J. Dini, and P. Maroni[1], Fourth-orderdifferential equation for the co-modified of semi-classical orthogonal

polynomials, J. Comp. Appl. Math. 29 (1990), 225–231, kl .

[932] A. Ronveaux, S. Belmehdi, E. Godoy, and A. Zarzo[1], Recurrence re-

lations for connection coefficients : Applications to Classical discreteorthogonal polynomials, preprint, kl-do .

[933] A. Ronveaux and F. Marcellan[1], Differential Equation for classical-

type Orthogonal Polynomials, Canad. Math. Bull. 32(4) (1989), 404–411, kl .

[934] A. Ronveaux and F. Marcellan[2], Co-recursive orthogonal polyno-

mials and fourth-order Differential equation, J. Comp. Appl. Math.25(1) (1989), 105–109, kl .

[935] A. Ronveaux and M. E. Muldoon[1], Stieltjes sums for zeros of or-

thogonal polynomials, ?, kl-zo .

[936] A. Ronveaux and G. Thiry[1], Differential equations of some orthog-

onal families in reduce, J. Symb. Comp. 8 (1989), 537–541, k .

[937] A. Ronveaux, A. Zarzo, and E. Godoy[1], Fourth-order differentialequations satisfied by the generalized co-recursive of all classical or-

thogonal polynomials. A study of their distribution of zeros, J. Comp.Appl. Math. 59 (1995), 295–328, kl-zo .

[938] A. Ronveaux, A. Zarzo, and E. Godoy[2], Recurrence relations for

connection coefficients between two families of orthogonal polynomi-als, J. Comp. and Appl. Math. 62 (1995), 67–73, kl .

[939] M. Rosler[1], Generalized Hermite Polynomials and the Heat Equa-

tion for Dunl Operators, ?, sv .

[940] H. Van Rossum[1], Formally biorthogonal polynomials, ?, 341–351,

kl-bp .

69

[941] H. J. Runckel[1], Zeros of complex orthogonal polynomials, Springer-Verlag Lect. Notes 1171, 278–282, kl-zo,co .

[942] P. Rusev[1], Analytic functions and classical orthogonal polynomials,

Sofia: Pub. House of the Bulgarian Academy of Sciences, 1984.

[943] E. B. Saff[1], Orthogonal polynomials from a complex perspective,Nato ASI Series, Kluwer Acad. (1990), 363–393, kl-co .

[944] E. B. Saff and V. Totik[1],What parts of a measure’s support attract

zeros of the corresponding orthogonal polynomials, Proc. Amer. Math.Soc. 144(1) (1992), 185–190, kl-zo .

[945] E. B. Saff and V. Totik[2], Zeros of Chebyshev Polynomials Associated

with A Compact Set in The Plane, SIAM J. Math. Anal. 21 (1990),799–802, k- zo,co .

[946] R. Sakai and P. Vertesi[1], Hermite-Fejer Interpolations of HigherOrder III, Studia Scientiarum Mathematicarum Hungaica 28 (1993),

87–97, kl .

[947] J. S. Dehesa[1] J. Sanchez-Ruiz, Expansions in seies of orthogonalhypergeometric polynomials, J. Comp. Appl. Math. 89 (1997), 155–

170, k .

[948] D. Sarason[1], Generalized interpolation in H , preprint, l .

[949] F. Sartoretto and R. Spigler[1], Computing expansion coefficients inorthogonal bases of ultraspherical polynomials, J. Comp. Appl. Math.

56 (1994), 295–303.

[950] K. I. Sato[1], On zeros of a system of polynomials and application tosojourn time distributions of birth-and-death processes, Trans. Amer.

Math. Soc. 309 (1988), 375–390, k-zo .

[951] T. Sauer and Y. Xu[1], On Multivariate Lagrange Interpolation,Math. Comp. 64 (1995), 1147–1170, kl-sv .

[952] F. W. Schafke[1], Zu den Orthogonalpolynomen von Althammer, J.Reine Angew. Math. 252 (1972), 195–199, k .

[953] F. W. Schafke and G. Wolf[1], Einfache Verallgemeinerte KlassischeOrthogonalpolynome, J. Reine Angew. Math. 262/263 (1973), 339–

355, k .

[954] L. Schlesinger[1], Handbuch der Theorie der linearnen Differential-gleichungen, Bd. II, Leipzig, 1897.

[955] L. Schlesinger[2], ?, J. Reine und Angew. Math. 141 (1912), 96–?

70

[956] J. W. Schleusner[1], A note on biorthogonal polynomials in two vari-ables, SIAM J. Math. Anal. 5 (1974), 11–18, k-bp,sv .

[957] A. L. Schmidt[1], Generalized Legendre Polynomials, J.reine angew.

Math. 404 (1990), 192–202.

[958] H. J. Schmidt and Y. Xu[1], On Bivariate Gaussian Cubature For-mulae, Proc. Amer. Math. Soc. 122(3) (1994), 833–841, fbox k-sv.

[959] K. Schmudgen[1], On determinacy notions for the two dimensional

moment problem, ??? (1989), 277–284, kl-sv,mp .

[960] I. J. Schoenberg[1], The Elementary Cases of Landau’s Problem of In-equality between Derivatives, Amer. Math. Monthly 80 (1973), 121–158, kl-pi .

[961] A. L. Schwarz[1], Three lectures on hypergroups, International Con-ference on Harmonic Analysis ed. K. Rosss, et al. Birkhauser,Boston (1997), to appear, k .

[962] A. L. Schwarz[2], Partial differential eqyations and bivariate orthog-onal polynomials, k .

[963] F. A. Sejeeni and M. A. Badri[1], The moment spaces of normedlinear spaces, Bull. Austral. Math. Soc. 45 (1992), 277–283, kl-mp .

[964] R. Sharma[1], Some Generating Functions of Modified Laguerre Poly-nomials : A Lie-Algebraic Approach, Bull. Cal. Math. Soc. 82 (1990),126–130, k .

[965] I. M. Sheffer[1], Note on functionally-orthogonal polynomials, TohokuMath. J. 33 (1930), 3–11.

[966] I. M. Sheffer[2], On sets of polynomials and associated linear func-

tional operators and equations, Amer. J. Math. 53 (1931), 15–38,k .

[967] I. M. Sheffer[3], On the properties of polynomials satisfying a linear

differential equation : Part I , Trans. Amer. Math. Soc. 35 (1933),184–214, kl .

[968] I. M. Sheffer[4], A differential equation for Appell polynomials, Bull.A.M.S. 41 (1935), 914–923.

[969] I. M. Sheffer[5], Some properties of polynomial sets of type zero, DukeMath. J. 5 (1939), 590–622, kl .

[970] I. M. Sheffer[6], On polynomial sets of class sk and sets of rank k,

Ann. Math. Pura ed Appl. 118 (1978), 295–324.

71

[971] J. Sherman[1], On the numerator of the convergents of the Stieltjescontinued fractions, Trans. Amer. Math. Soc. 35 (1933), 64–87, kl .

[972] Y. G. Shi[1], New Answer to Problem 24 of P. Turan, Acta Math

Hungar 62(3-4) (1993), 349–362, kl .

[973] Y. G. Shi[2], Regularity and Explicity Representation of (0, 1, · · · , m−2, m)- Interpolation on The Zeros of The Jacobi Polynomials, J. Ap-prox. Th. 76 (1994), 274–285, kl-zo .

[974] Y. G. Shi[3], Bounds and Inequalities for Arbitrary Orthogonal Poly-

nomials on Finite Intervals, Journal of Approximation Theory 81(1995), 217–230, kl .

[975] Y. G. Shi[4], An Analogue of Problem 26 of P. Turan, BULL. AUS-

TRAL. MATH. SOC. 53 (1996), 1–12, k-qf(r) .

[976] Y. G. Shi[5], The Generalized Markov-Stieljes Inequality for BirkhoffQuadrature Formulas, J. Approx. Th. 86 (1996), 229–239, k .

[977] A. D. Shishkin[1], Some properties of special classes of orthogonalpolynomials in two variables, Integral Transforms and Special func-

tions 5(3-4) (1997), 261–272, k .

[978] J. A. Shohat[1], Theorie generale des polynomes orthogonaux deTchebichef, Memorial des Sciences Mathematiques, vol. 66, Paris,

1934.

[979] J. A. Shohat[2], The relation of the classical Orthogonal Polynomials

to the polynomials of Appell, Amer. J. Math. 58 (1936), 453–464,k .

[980] J. A. Shohat[3], On mechanical quadratures, in particular with pos-

itive coefficients, Trans. Amer. Math. Soc. 42 (1937), 461–496,kl-qd .

[981] J. A. Shohat[4], Sur les polynome orthogonaux generalises, ComptesRendus 207 (1938), 556–558.

[982] J. A. Shohat[5], A differential equation for orthogonal polynomials,

Duke Math. M. 5 (1939), 401–417, kl .

[983] S. D. Shore[1], On the second order differential equation which has

orthogonal polynomial solutions, Bull. CalcuttaMath. Soc. 56 (1964),195–198, kl .

[984] A. Sinap and W. van Assche[1], Polynomials interpolation and Gaus-

sian quadrature for matrix valued functions, preprint, kl-mo,qd .

72

[985] X. Siqing[1], On Some Extremal Properties of Algebraic Polynomials,Acta Math. Sci. 15(4) (1995), 474–476, .

[986] A.V. Skorokhod and V.I. Stepakhno[1], Generalization of Hermite

Polynomials , Ukrainskii Mathematicheskii Zhurnal 42 (1990), 1524–1528, k .

[987] M. R. Skrzipek[1], Orthogonal polynomials for modified weight func-tions, J. Comp. Appl. Math. 41 (1992), 331–346, kl .

[988] H. Slim[1], On co-recursive orthogonal polynomials and their applica-

tions to potential scattering, J. Math. Anal. Appl. 136 (1988), 1–19.

[989] K. Soni and N. M. Temme[1], On a Biorthogonal System associ-ated with Uniform Asymptotic Expansions, IMA J. Applied Math.44 (1990), 1–25, k-bp .

[990] N. Ja. Sonine[1], Uber die angenaherte Berechnung der bestimmten

Integrale und uber die dabei vorkommenden ganzen Functionen, War-saw Univ. Izv. 18 (1887), 1–76(Russian).

[991] R. Spector[1], Measures Invariantes Sur Les Hypergroupes, Trans.Amer. Math. Soc 239 (1978), 147–165, k-hg .

[992] I. G. Sprinkhuizen-Kuyper[1], Orthogonal polynomials in two vari-

ables. A further analysis of the polynomials orthogonal over a regionbounded by two lines and a parabola, SIAM J. Math. Anal. 7 (1976),

501–518, k-sv .

[993] A. Sri Ranga[1], Another quadrature rule of highest algebraic degree

of precision, Numer. Math. 68 (1994), 283–294, k-qd .

[994] A. Sri Ranga and J. H. McCabe[1], On the extensions of some clas-sical distributions, Proc. Edinburgh Math. Soc. 34 (1991), 19–29,

k .

[995] A. Sri Ranga and M. Veiga[1], A Chebyshev-type quadrature rule with

some interesting properties, J. Comp. Appl. Math. 51 (1994), 263–265, k-qd .

[996] H. M. Srivastava[1], Orthogonality relations and generating functions

for the generalized Bessel polynomials, Appl. Math. and Comp. 61(1994), 99–134, kl .

[997] H. M. Srivastava[2], A Note on Certain Operational Representationsfor the Laguerre Polynomials, Journal of Mathematical Analysis and

Applications 138 (1989), 209–213, k .

73

[998] H. M. Srivastava and S.Handa[1], Some General Theorems on Gener-ating Functions and Their Applications, Appl. Math. Lett. 1 (1988),

391–394, k .

[999] H. Stahl[1], On the Convergence of Generalized Pade approximants,Constr. Approx. 5 (1989), 221–240, kl .

[1000] H. Stahl[2], Orthogonal polynomials with respect to complex-valuedmeasures, preprint (1990), ??, kl-co .

[1001] H. Stahl[3], On Regular nth Root Asymptotic Behavior of OrthogonalPolynomials, J. Approx. Th. 66 (1991), 125–161, k-zo .

[1002] H. Stahl[4], General Convergence Results for Rational Approximants,

Approximation Theory VI, 2 (1989), 605–634, k .

[1003] H. Stahl[5], N -th root asymptotic behavior of orthogonal polynomials,

Nato ASI Series Vol. 294, P. Nevai (ed.), Kluwer Acad. (1990), 395–417, k-zo .

[1004] H. Stahl[6], Orthogonal Polynomials with Complex-Valued Weight

Function,I, Constr. Approx. 2 (1986), 225–240, k-co .

[1005] H. Stahl[7], Orthogonal Polynomials with Complex-Valued Weight

Function,II, Constr. Approx. 2 (1986), 241–251, k-co .

[1006] H. Stahl and V.Totik[1],N-th Root Asymptotic Behavior of Orthonor-mal Polynomials, Orthogonal Polynomials (1990), 395–417, k-zo .

[1007] T. J. Stieltjes[1], Recherches sur les fractions continues, Annales dela Faculte des Sciences de Toulouse,Tome VIII, 1894 (1894), J76–122,

k .

[1008] T. J. Stieltjes[2], Recherches sur les fractions continues, Annales de

la Faculte des Sciences de Toulouse, (8) 1984, J 1–122 and (9) (1895),A1–47.

[1009] T. J. Stieltjes[3], Recherches sur les fractions continues, Annales dela Faculte des Sciences de Toulouse,Tome IX, 1895 (1895), A5–47,

k .

[1010] T. J. Stieltjes[4], Recherches sur les fractions continues, Annales dela Faculte des Sciences de Toulouse,Tome VIII, 1894 (1894), J76–122.

[1011] G. W. Struble[1], Orthogonal polynomial : Variable-signed weightfunctions, Ph. D. Thesis Univ. Wisconsin (1961), kl-qd .

[1012] P. K. Suetin[1], Orthogonal polynomials in two variables, Nauka,

Moskow, 1988, k-sv .

74

[1013] P. K. Suetin[2], The Weighted Estimates for Classical OrthogonalPolynomials, Integral Transforms of Special Functions 2(3) (1994),

239–242, k .

[1014] P. K. Suetin[3], New Applications of Orthogonal Polynomials to some

problems of the Antennas Theory, Integral Transforms of SpecialFunctions 5(3-4) (1997), 273–286, k .

[1015] S. Suslov[1], Classical orthogonal polynomials of a discrete variable

continuous orthogonality relation, Letters in Math. Phys. 14 (1987),77–88, do .

[1016] F. H. Szafraniec[1], Yet another face of the creation operator,preprint., kl .

[1017] F. H. Szafraniec[2], A (Little) step towards orthogonality of analytic

polynomials, ?, kl .

[1018] F. H. Szafraniec[2], Analytic Models of the Quantum Harmonic Os-

cillator, ? ? (?), 1–?, k .

[1019] G. Szego[1], On an inequality of P. Turan concerning Legendre poly-nomials, ? ? (?), 401–405, kl-pi .

[1020] G. Szego[2], An Outline of The History of Orthogonal Polynomials,??, k .

[1021] R. Szego[3], Orthogonal polynomials, A.M.S. Coll. Publ. vol 23. Prov-idence, 1978, kl .

[1022] R. Szwarc[1], Orthogonal polynomials and a descrete boundary value

problem I, SIAM. J. Math. Anal 23(4) (1992), 959–964, kl .

[1023] R. Szwarc[2], Orthogonal polynomials and a descrete boundary value

problem II, SIAM. J. Math. Anal 23(4) (1992), 965–969, kl .

[1024] R. Szwarc[3], Chain sequences and compact perturbations of orthog-onal polynomials, Math. Z. 217 (1994), 57–71, kl .

[1025] R. Szwarc[4], Convolution Structures associated with orthogonal poly-nomials, J. Math. Anal. Appl., to appear, k .

[1026] R. Szwarc[5], Connection coefficients of orthogonal polynomials,Canad. Math. Bull., to appear.

[1027] R. Szwarc[6], Convolution structure and Haar matrices, preprint,

preprint, k .

[1028] R. Szwarc[7], Linearization and connection coefficients of orthogonal

polynomials, ???, k .

75

[1029] R. Szwarc[8], Uniform Subexponential Growth of Orthogonal Polyno-mials, J. of Approx. Th. 81 (1995), 296–302, kl .

[1030] M. A. Tellez[1], The distribution δ(k)(P ± i0− m2), J. Comp. Appl.

Math. 88 (1997), 339–348, kl .

[1031] N. M. Temme[1], Polynomial Asymptotic Estimates of Gegenbauer,

Laguerre, and Jacobi Polynomials, This paper is presented at the In-ternational Symposium on Asymptotic and Computational Analysis

(1989), k .

[1032] V. Totik[1], Approximation by Bernstein Polynomials, Amer. J.

Math. 116 (1994), 995–1018, kl .

[1033] V. Totik[2], Orthogonal Polynomials With Ratio Asymptotics, Pro-ceedings of The American Mathematical Society 114 (1992), k .

[1034] V. Totik[3], Regular Behavior of Orthogonal Polynomials and Its Lo-calization, J. Approx.th. 66 (1991), 162–169, k .

[1035] F. Tricomi[1], Equazioni Differenziali, Torino, 1948.

[1036] F. Tricomi[2], A class of nonorthogonal polynomials related to thoseof Laguerre, J. d’Analyse Math. 1 (1951), 209–231.

[1037] F. Tricomi[3], Vorlesungen uber orthogonalreihen, Springer-Verlag,

Berline, 1955.

[1038] P. Turan[1], On the theory of mechanical quadrature, Acta Sci. Math.

Szeged 12 (1950), 30–37, qd .

[1039] P. Turan[2], On some open problems of approximation theory, J. Ap-

prox. Th. 29 (1980), 23–85, kl .

[1040] A. Turbiner[1], Lie algebras and polynomials in one variable, J. Phys.A: Math. Gen. 25 (1992), L1087–L1093, kl .

[1041] A. Turbiner[2], Lie-algebraic approach to the theory of polynomialsolutions II. Differential equations in one real and one Grassmann

variables and 2 × 2 matrix differential equations, ETH-TH 92-21(1992), kl .

[1042] A. Turbiner[3], Lie-algebraic approach to the theory of polynomialsolutions III. differential equations in two real variables and general

outlook. preprint, ETH-TH 92-34 (1992), kl .

[1043] A. Turbiner[4], Lie algebraic approach to the theory of polynomial so-lutions I. Ordinary differential equations and finite difference equa-

tions in one variable, preprint, kl .

76

[1044] A. Turbiner[5], Lie algebras and linear operators with invariant sub-spaces., preprint, kl .

[1045] K. Uchimura[1], Polynomials associated with the characters of su(n),

J. Pure Appl. Algebra 36 (1985), 315–338.

[1046] K. Uchimura[2], Zeros of the Chebyshev polynomials of the secondkind in two variables z and z, Rend. di Mate. ?, 343–353, kl-zo,sv .

[1047] K. Uchimura[3], Linear combinations of Chebysev polynomials of thesecond kind in several variables, Rend. di Mate., 147–158, k-zo,sv .

[1048] J.L. Ullman[1], A Survey of Exterior Asymptotics for OrthogonalPolynomials Associated with a Finite Interval and a Study of theCase of the General weight Measures, Approximation Theory and

Spline Functions (1984), 467–478, k .

[1049] J.L. Ullman and M.F. Wyneken[1], Weak Limits of Zeros of Orthog-onal Polynomials, Constr. Approx.? (1986), 000–000, k-zo .

[1050] G. Valent[1], Associated Stieltjes-Carlitz polynomials and a general-ization of Heun’s differential equation, Communication at the fourth

international conference on orthogonal polynomials, Evian (1992),kl .

[1051] G. Valent[2], Exact solutions of some quadratic and quartic birth and

death processes and related orthogonal polynomials, J. Comp. Appl.Math. (1996), k .

[1052] A. K. Varma[1], Derivatives of polynomials with positive coefficients,Proc. Amer. Math. Soc. 83 (1981), 107–112, kl-pi .

[1053] A. K. Varma[2],A new characterization of Hermite polynomials, Acta

Math. Hung. 49 (1987), 169–172, kl-pi .

[1054] A. K. Varma[3], On some extremal properties of algebraic polynomi-

als, J. Approx. Th. 69 (1992), 48–54, kl-pi .

[1055] A. K. Varma[4], Some Inequalities of Algebraic Polynomials, Proc.Amer. Math. Soc. 123 (1995), 2041–2048, kl-pi .

[1056] A. K. Varma and E. Landau[1], New Quadrature Formulas Based onthe Zeros of Jacobi Polynomials, Computers Math. Applic. 30 (1995),

213–220, k-qd .

[1057] P. Verlinden and R. Cools[1], On cubature formelae of degree 4K +1attaining Moller’s lower bound for integrals with circular symmetry,

Numer. Math. 61 (1992), 395–407, kl .

77

[1058] P. Vertesi[1], On the Optimal Lebesgue Constants forPolynomial in-terpolations, Acta. Math. Hung. 47(1-2) (1986), 165–178, k-qd .

[1059] P. Vertesi[2], Hermite-Fejer Interpolations of Higher Order I , Acta

Math. Hung. 54(1-2) (1989), 135–152, kl-qd .

[1060] P. Vertesi[3], Hermite and Hermite-Fejer Interpolations of HigherOrder. II(Mean Convergence), Acta. Math. Hungar. 56 (1990), 369–380, k-qf .

[1061] P. Vertesi[4], Turan type problems on mean convergence. I (Lagrange

type interpolations), Acta. Math. Hungar. 65(2) (1994), 115–139,kl-qd .

[1062] P. Vertesi[5], On the zeros of generalized Jacobi polynomials, Ann.Numer. Math. 4 (1997), 561–577, k-zo .

[1063] P. Vertesi and Y. Xu[1],Order of Mean Convergence of Hermite-Fejer

Interpolations, Studia Scientiarum Mathematicarum Hungarica 24(1989), 391–401, k-qf .

[1064] P. Vertesi and Y. Xu[2], Weighted Lp Convergence of Hermite In-terpolation of Higher Order, Acta Math. Hung. 59 (1992), 423–438,

k-qf .

[1065] P. Vertesi and Y. Xu[3], Truncated Hermite Interpolation Polyno-mials, Studia Scientiarum Mathematicarum Hungarica 28 (1993),

205–213, kl-qd .

[1066] G. A. Viano[1], Solution of the Hausdorff moment problem by the use

of Pollaczek polynomials, J. Math. Anal. Appl. 156 (1991), 410–427,kl-mp .

[1067] J. Vinuesa and R. Guadalupe[1], Bi-positive sequences the bilat-

eral moment problem, Canad. Math. Bull. 29(4) (1986), 456–462,kl-mp .

[1068] J. Vinuesa and R. Guadalupe[2], Zeros extremaux de polynomes or-thogonaux, ???, 291–295, k-zo .

[1069] H. S. Wall[1], Polynomials whose zeros have negative real parts, AMS

Monthly 52 (1945), 308–322, kl-zo .

[1070] H. S. Wall[2], Analytic Theory of Continued fractions, van Nostrand,

N.Y., 1948, k .

[1071] H. S. Wall and M. Wetzel[1], Quadratic Forms and Convergence Re-gions for Continued Fractions , ??, 89–102, k .

78

[1072] M. Weber and A. Erdelyi[1], On the finite difference analogue of Ro-drigues’ formula, Math. Assoc. Amer. Monthly 59 (1952), 163–168,

kl-do .

[1073] M. S. Webster[1], On the zeros of Jacobi polynomials, with applica-

tions, Duke Math. J. 3 (1937), 426–442, kl-zo .

[1074] M. S. Webster[2], Orthogonal Polynomials with orthogonal deriva-tives, Bull. Amer. Math. Soc. 44 (1938), 880–888, kl .

[1075] M. S. Webster[3], Non-linear Recurrence relations for certain classicalfunctions, Amer. Math. Monthly 64 (1957), 249–252, kl .

[1076] B. Wendroff[1], On orthogonal polynomials, Proc. Amer. Math. Soc.12 (1961), 554–555, kl .

[1077] D. Widder[1], The Laplace transform, Princeton Univ. Press, 1947,

kl .

[1078] K. P. Williams[1], A uniqueness theorem for the Legendre and Her-

mite polynomials, Trans. Amer. Math. Soc. 26 (1924), 441–445.

[1079] J.A.Wilson[1], Orthogonal Functions from Gram Determinants,SIAM J. Math. Anal. 22 (1991), 1147–1155, k .

[1080] J.A.Wilson[2], Some Hypergeometric Orthogonal Polynomials, SIAMJ. Math. Anal. 11 (1980), 690–701, k .

[1081] J. Wimp[1], Toeplitz arrays, linear sequence transformations and or-

thogonal polinomials, Numer. Math. 23 (1974), 1–18.

[1082] J. Wimp[2], Explicit formulas for the associated Jacobi polynomials

and some applications, Canad. J. Math. 39 (1987), 983–1000.

[1083] R. Wong and J.-M. Zhang[1], Asymptotic expansions of the general-ized Bessel polynomials, J. Comp. Appl. Math. 85 (1997), 87–112.

[1084] M.F.Wyneken[1], Norm Asymptotics of Orthogonal Polynomials forGeneral Measures, Constr. Approx. 4 (1988), 123–131, k .

[1085] M.F.Wyneken[2], On Norm and Zero Asymptotics of OrthogonalPolynomials for General Measures, I, Rocky Mountain Journal of

Mathematics 19 (1989), 1–9, k-zo .

[1086] Y. Xu[1], On orthogonal polynoials in several variables, preprint,kl-sv .

[1087] Y. Xu[2], Christoffel Functions and Fourier Series for Multivari-ate Orthogonal Polynomials, J. Approx. Th. 82 (1995), 205–239,

kl-sv .

79

[1088] Y. Xu[3], On zeros of multivariate quasi-orthogonal polynomials andGaussian cubature formulae, SIAM J. Math. Anal. 25 (1994), 991–

1001, kl .

[1089] Y. Xu[4], Unbounded commuting operators and multivariate orthog-onal polynomials, Proc.Amer. Math. Soc. 119 (1993), 1223–1231,

kl .

[1090] Y. Xu[5], A Characterization of Positive Quadrature Formulae,

Math. Comp. 62 (1994), 703–718, kl .

[1091] Y. Xu[6], A class of bivariate orthogonal polynomials and cubatureformula, Numer. Math. 69 (1994), 233–241, kl .

[1092] Y. Xu[7],Gaussian Cubature and Bivariate Polynomial Interpolation,Math. Comp. 59 (1992), 547–555, kl .

[1093] Y. Xu[8], Block Jacobi Matrices and Zeros of Multivariate Orthogonal

Polynomials, Trans. Amer. Math. Soc. 342 (1994), 855–866, kl .

[1094] Y. Xu[9], Multivariate Orthogonal Polynomails and Operator Theory,Trans. Amer. Math. Soc. 343 (1994), 193–202, kl .

[1095] Y. Xu[10], Solutions of Three-term Relations In Several Variables,Proc. Amer. Math. Soc. 122 (1994), 151–155, kl .

[1096] Y. Xu[11], Convergence Rate for Hermite-Fejer Interpolation ofHigher order, Proc. Amer. Math. Soc. Eds P. Nevai and A.

Pinkus., AP, Boston (1991), 893–897, k .

[1097] Y. Xu[12], On Multivariate orthogonal Polynomials, SIAM J. MATH.ANAL. 24(3) (1993), 783–794, k-sv .

[1098] Y. Xu[13], Recurrence Formulas for Multivariate Orthogonal Polyno-mials, Math. Comp. 62(206) (1994), 687–702, k-sv .

[1099] Y. Xu[14], Summability of certain product ultraspherical orthogonal

polynomial series in several variables, Ann. Numer. Math. 4 (1997),623–638, k-sv .

[1100] Y. Xu[15], Integraion of the interwining operator for h-harmonicpolynomials associted to teflection groups, Proc. Amer. Math. Soc.

125 (1997), 2963–2973, k .

[1101] R. J. Yanez, J. C. Angulo, and J. S. Dehesa[1], Information Entropiesof many-electron systems, Int. J. Quat. Chem. (1994), to appear, kl .

80

[1102] R. J. Yanez, J. S. Dehesa, and A. F. Nikiforov[1], The threeterm recurrence relation and the differentiation formulas for

Hypergeometric-type Functions, J. Math. Anal. Appl. 188 (1994),855–566, kl .

[1103] A. Yanushauskas[1], Orthogonal Polynomials of many Variables and

Degenerated Elliptic Equations, Topics in Polynomials of one andseveral Variables and their Applications edited by Th. M. Rassias,

H. M. Srivastava and A. Yanushauskas, 595–607, k-sv .

[1104] S. Y. Chung Y. J. Yeom and D. H. Kim[1], Moment problem forhyperfunctions and heat kernel method, k .

[1105] R. A. Zalik[1], Inequalities for weighted polynomials, J. Approx. Th.37 (1983), 137–146, kl-pi .

[1106] R. A. Zalik[2], Some weighted polynomial inequalities, J. Approx. Th.

41 (1984), 39–50, kl-pi .

[1107] A. Zarzo and J. S. Dehesa[1], Spectral properties of solutions ofhypergeometric-type differential equations, J. Comp. Appl. Math. 50

(1994), 613–623, kl .

[1108] A. Zarzo, J. S. Dehesa, E.R. Arriola, and R.J. Yanez[1], Distribu-

tion of zeros of Gaussian and confluent hypergeometric functions. Asemiclassical approach, preprint, kl-zo .

[1109] A. Zarzo, J. S. Dehesa, and J. Torres[1], On a new set of polynomials

representing the wave functions of the quantum relativistic harmonic

oscillator, Annals of Numerical Math. 2 (1995), 439–455, kl(r) .

[1110] A. Zarzo, J. S. Dehesa, and R. J. Yanez[1], Distribution of zeros

of Gauss and Kummer hypergeometric functions A semiclassical ap-proach, Annals of Numer. Math., to appear, kl-zo .

[1111] A. Zarzo and A. Martinez[1], The quantum relativistic harmonic os-

cillator: Spectrum of zeros of its wave functions, J. Math. Phys.34(7) (1993), 2926–2935, k-zo .

[1112] A. Zarzo, A. Ronveaux, and E. Godoy[1], Fourth order differentialequation satisfied by the associated of any order of all classical orthog-

onal polynomials. A study of their distribution of zeros, ?, kl-zo .

[1113] A.I. Zayed[1], Jacobi Polynomials as Generalized Faber Polynomials,Trans. Amer. Math. Soc. 321 (1990), 363–378, kl .

[1114] A. Zettl[1], The Legendre Equation On The Whole Line, Proc. Int’al

Conf. on Theory and Appl. Diff. Eq.Ohio Univ. (1988), k-sa(r) .

81

[1115] M. Zhang[1], Orthogonal Polynomials in Sobolev Spaces : Compu-tational Methods, Doctoral Dissertation. Purdue University (1993),

so .

[1116] M. Zhang[2], Sensitivity Analysis for Computing Orthogonal Polyno-mials of Sobolev Type, In Approximation and Computation, R. V.

M. Zahar Editor, ISNM Vol 119, Birkhauser Verlag, Basel (1994),563–576, k-so .

[1117] A. Zhedanov[1], Rational spectral transformations and orthogonalpolynomials, J. Comp. Appl. Math. 85 (1997), 67–86, k .

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