# 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 language English (US) 930-936 7 Integral Transforms and Special Functions 27 11 https://doi.org/10.1080/10652469.2016.1231674 Published - 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

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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