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

Yong S. Kim, Arjun K. Rathie, Richard B. Paris

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    6 Citations (Scopus)
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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].
    Original languageEnglish
    Pages (from-to)916-921
    Number of pages6
    JournalIntegral Transforms and Special Functions
    Volume24
    Issue number11
    Early online date16 May 2013
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Generalized hypergeometric series
    • Unit argument
    • Saalschütz's theorem

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