Computing the Hypergeometric Function

Research output: Contribution to journalArticle

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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.

Original languageEnglish (US)
Pages (from-to)79-100
Number of pages22
JournalJournal of Computational Physics
Volume137
Issue number1
DOIs
StatePublished - Oct 1997

All Science Journal Classification (ASJC) codes

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

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