Analytic continuation of the 3F2 hypergeometric series

Research output: Contribution to journalArticle

Abstract

In this article, we will use the binomial transformation to derive a series representation for the 3F2 hypergeometric function that converges everywhere off the real interval [1, ∞). Additionally, we will find a stable recursion relation for the summand of this series, and we will establish the effectiveness of this series for numerical evaluation of 3F2.

Original languageEnglish (US)
Pages (from-to)930-936
Number of pages7
JournalIntegral Transforms and Special Functions
Volume27
Issue number11
DOIs
StatePublished - Nov 1 2016

Fingerprint

Hypergeometric Series
Analytic Continuation
Recursion Relations
Series
Series Representation
Hypergeometric Functions
Converge
Interval
Evaluation

Keywords

  • Hypergeometric functions
  • analytic continuation
  • binomial transformation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Analytic continuation of the 3F2 hypergeometric series. / Willis, Barton L.

In: Integral Transforms and Special Functions, Vol. 27, No. 11, 01.11.2016, p. 930-936.

Research output: Contribution to journalArticle

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