Analytic continuation of the 3F2 hypergeometric series

Barton L. Willis

doi:10.1080/10652469.2016.1231674

Analytic continuation of the ₃F₂ hypergeometric series

Barton L. Willis

Mathematics and Statistics

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

1 Scopus citations

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 language	English (US)
Pages (from-to)	930-936
Number of pages	7
Journal	Integral Transforms and Special Functions
Volume	27
Issue number	11
DOIs	https://doi.org/10.1080/10652469.2016.1231674
State	Published - Nov 1 2016

Keywords

Hypergeometric functions
analytic continuation
binomial transformation

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1080/10652469.2016.1231674

Cite this

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