Generalized Hypergeometric Function

Version 1.0.0.0 (52 KB) by Ben Barrowes
Calculates the Generalized Hypergeometric Function at the desired accuracy.
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Updated 6 Jan 2005

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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.

Cite As

Ben Barrowes (2026). Generalized Hypergeometric Function (https://ch.mathworks.com/matlabcentral/fileexchange/5616-generalized-hypergeometric-function), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired: Generation of Random Variates

Version Published Release Notes
1.0.0.0

Fixed backward compatibility problem.