Computing the Hypergeometric Function

Robert C. Forrey

doi:10.1006/jcph.1997.5794

Computing the Hypergeometric Function

Robert C. Forrey

Division of Science (Berks)

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	79-100
Number of pages	22
Journal	Journal of Computational Physics
Volume	137
Issue number	1
DOIs	https://doi.org/10.1006/jcph.1997.5794
State	Published - Oct 1997

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.1997.5794

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abstract = "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.",

author = "Forrey, {Robert C.}",

note = "Funding Information: The author gratefully acknowledges Robert Nyden Hill who contributed many of the ideas that have been implemented in this work. Brendan McLaughlin and John D. Morgan III are also acknowledged for helpful conversations. This work was supported by NSF Grant PHY-8608155 to John D. Morgan III and by a grant to Alex Dalgarno by the Division of Chemical Sciences, Office of Basic Energy Sciences, Office of Energy Research, U.S. Department of Energy.",

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Computing the Hypergeometric Function

Abstract

All Science Journal Classification (ASJC) codes

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