Computing the Hypergeometric Function

Computing the Hypergeometric Function

The hypergeometric function of a real variable is computed for arbitrary real parameters. The transformation theory of the hypergeometric function is used to obtain rapidly convergent power series. The divergences that occur in the individual terms of the transformation for integer parameters are re...

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Veröffentlicht in:Journal of Computational Physics 1997-10, Vol.137 (1), p.79-100
1. Verfasser: Forrey, Robert C.
Format: Artikel
Sprache:eng
Schlagworte:
CONVERGENCE
FINITE DIFFERENCE METHOD
FORTRAN
HYPERGEOMETRIC FUNCTIONS
MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS
SERIES EXPANSION
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Beschreibung
Zusammenfassung:The hypergeometric function of a real variable is computed for arbitrary real parameters. The transformation theory of the hypergeometric function is used to obtain rapidly convergent power series. The divergences that occur in the individual terms of the transformation for integer parameters are removed using a finite difference technique.
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.1997.5794