Article ID Journal Published Year Pages File Type
4641227 Journal of Computational and Applied Mathematics 2009 9 Pages PDF
Abstract

We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton’s summation theorem. As an application we deduce a reduction formula for a certain Kampé de Fériet function that in turn provides a Kummer-type transformation formula for the generalized hypergeometric function pFp(x)pFp(x).

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Physical Sciences and Engineering Mathematics Applied Mathematics
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