A1 Refereed original research article in a scientific journal
Asymptotic expansions and inequalities for hypergeometric functions
Authors: Ponnusamy S., Vuorinen M.
Publication year: 1997
Journal:: Mathematika
Journal name in source: Mathematika
Volume: 44
Issue: 2
First page : 278
Last page: 301
ISSN: 0025-5793
Web address : http://api.elsevier.com/content/abstract/scopus_id:0039039092
Abstract
Ramanujan's work on the asymptotic behaviour of the hypergeometric function has been recently refined to the zero-balanced Gaussian hypergeometric function F(a, b; a + b; x) as x→1. We extend these results for F(a, b; c; x) when a, b, c > 0 and c < a + b.
Ramanujan's work on the asymptotic behaviour of the hypergeometric function has been recently refined to the zero-balanced Gaussian hypergeometric function F(a, b; a + b; x) as x→1. We extend these results for F(a, b; c; x) when a, b, c > 0 and c < a + b.
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