MTM
hypergeom
generalized hypergeometric function
Calling Sequence
Parameters
Description
Examples
hypergeom(N, D, z)
N
-
vector or scalar
D
z
expression
The hypergeom(N, D, z) calling sequence computes the generalized hypergeometric function F(n, d, z). Let N = [n1, n2, ...], j = length(N), D = [d1, d2, ...] and k = length(D). This function is frequently denoted by jFk(n,d,z).
Formally, F(n, d, z) is defined by the series
∑k=0∞zk∏i=1ppochhammerni,kk!∏j=1qpochhammerdj,k
withMTM:
hypergeom,,z
ⅇz
hypergeom1,,z
11−z
hypergeom1,2,z
ⅇz1−ⅇ−zz
hypergeom1,2,2,3,z
2ⅇz1−ⅇ−z1+zz2
hypergeoma,,z
1−z−a
hypergeom,1,−z24
BesselJ0,z
hypergeom−10,10,12,1−z2
512z10−1280z8+1120z6−400z4+50z2−1
See Also
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