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8/9/2019 Functional Expansions II
1/9
2014
:
.
:
:=
= 1 2
1
( ) ( )n
k n
k
t z t t t z RRRR , =
=1
( ) lim ( )n
kn
k
T z t z RRRR .
:
=
= 1 1
1
( ) ( )n
k n n
k
t z t t t z LLLL , =
=1
( ) lim ( )n
kn
k
T z t z LLLL .
1. ,
. .
(1)
= + + + , < ( )
:
(2)
= +
1
(3)
+=
= +
RRRR
=
,
C :
(4)
+= + , =
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1 (, 2011) ( ) = + , 1z R
< < . 10
r R< < , ( )
1
1
( )1
k
k
R rR R r
=
= = + .
= z R
( )
=
+ < , 1k kR
r =
=
+
, , = ( ).
: = +
+=
= +
RRRR , 20
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: = +
+=
= +
RRRR , 40
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2(, 2011) n{g } S=(|z| . , ( )0 0z S z R = < ,
n n n 1 1G (z) g g g (z) G(z)= , 0S .
:
= + + ,
= 20
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(9) = + = + + ,
(10)
+=
= +
RRRR
: = +
+=
= +
RRRR 40
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:
+=
= + = +
RRRR , 45
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: = +
( )
+=
= +
RRRR 40
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:( )
+=
= + = +
RRRR 40
8/9/2019 Functional Expansions II
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