Generalized Hypergeometric Function

A numerical evaluator for the generalized hypergeometric function for complex arguments with large magnitudes using a direct summation of the Gauss series.

pFq isdefined by (borrowed from Maple):
pFq = sum(z^k / k! * product(pochhammer(n[i], k), i=1..p) / product(pochhammer(d[j], k), j=1..q), k=0..infinity )

The desired accuracy (number of digits) can be specified as a parameter.

This function is a translation from the original fortran77 source code written by W. F. Perger from the Michigan Technological University.