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hypergeom

  

generalized hypergeometric function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

hypergeom(N, D, z)

Parameters

N

-

vector or scalar

D

-

vector or scalar

z

-

expression

Description

• 

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=0zki=1ppochhammerni,kk!j=1qpochhammerdj,k

Examples

withMTM:

hypergeom,,z

ⅇz

(1)

hypergeom1,,z

11+z

(2)

hypergeom1,2,z

ⅇz1ⅇzz

(3)

hypergeom1,2,2,3,z

2ⅇz1ⅇz1+zz2

(4)

hypergeoma,,z

1za

(5)

hypergeom,1,z24

BesselJ0,z

(6)

hypergeom10,10,12,1z2

512z101280z8+1120z6400z4+50z21

(7)

See Also

hypergeom

MTM