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7/26/2019 Incomplete Gamma
1/3
This spreadsheet contains a user defned unction called Gammaax
Abramowitz and Stegun 6.5.2 gies the defnition
!ou can use it as a usual "xcel unction
#t has two parameters$ Gammaax%a&x'
The second parameter can be missing
"xamples$
()Gammaax%*&+'( ,-A/"0
()Gammaax%*'( ,-A/"0
1emar$ 3oth the aboe orms gie the usual Gamma unction& in this case the
4urther examples$
a
*.6
+.2
+.
#n recoer potential analsis we need the frst parameter to be (78n( and the sen) +.* and dimensionless rate ;< ) +.>
(Gammaax%78+.*&9 ln%+.>' '( ,-A/"0
(Gammaax%78+.* '( ,-A/"0
(The ratio o the two is the recoer potential rp $( ,-A/"0
[a , x ]=x
ta1
e
7/26/2019 Incomplete Gamma
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lue is 2 actorial ) 2
x Gamma%a&x'
>.6 ,-A/"0
* ,-A/"0
+.2 ,-A/"0
ond parameter to be (9ln:;
7/26/2019 Incomplete Gamma
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e