On two Thomae-type transformations for hypergeometric series with integral parameter differences

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

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    Abstract

    We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.
    Original languageEnglish
    Pages (from-to)111-118
    Number of pages8
    JournalMathematical Communications
    Volume19
    Issue number2014
    Publication statusPublished - 2014

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