An extension of Saalschütz's summation theorem for the series r+3Fr+2

Author： Kim Y.S.   Rathie A.K.   Paris R.B.  

Publisher： Taylor & Francis Ltd

ISSN： 1065-2469

Source： Integral Transforms and Special Functions, Vol.24, Iss.11, 2013-11, pp. : 916-921

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Abstract

The aim in this research note is to provide an extension of Saalschütz's summation theorem for the series r+3Fr+2(1) when r pairs of numeratorial and denominatorial parameters differ by positive integers. The result is obtained by exploiting a generalization of an Euler-type transformation recently derived by Miller and Paris [Transformation formulas for the generalized hypergeometric function with integral parameter differences. Rocky Mountain J Math. 2013;43, to appear].

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