A numerical evaluator for the generalized hypergeometric series

Published: 01-01-1993| Version 1 | DOI: 10.17632/btssyf8zn4.1
Warren F. Perger,
Atul Bhalla,
Mark Nardin


Abstract The generalized hypergeometric series is numerically evaluated using extended precision subroutines. Cases involving large, complex arguments are shown to be accurate up to 12 significant figures. Title of program: PFQ Catalogue Id: ACPA_v1_0 Nature of problem The generalized hypergeometric series is the solution of many equations occuring in various scientific and engineering disciplines. A couple of examples are: the radial part of the wavefunction of the hydrogen atom, for bound and continuum states both non-relativistic and relativistic, and the radial and angular parts of the solution to the biconical antenna. Versions of this program held in the CPC repository in Mendeley Data ACPA_v1_0; PFQ; 10.1016/0010-4655(93)90008-Z This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)