Hypergeometric Functions with Integral Parameter Differences

Per W. Karlsson

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    Abstract

    For a generalized hypergeometric function pFq(z) with positive integral differences between certain numerator and denominator parameters, a formula expressing the pFq(z) as a finite sum of lower-order functions is proved. From this formula, Minton's two summation theorems for p = q + 1, z = 1 are deduced, one of these under less restrictive conditions than assumed by Minton. ©1971 The American Institute of Physics
    Original languageEnglish
    JournalJournal of Mathematical Physics
    Volume12
    Issue number2
    Pages (from-to)270-271
    ISSN0022-2488
    DOIs
    Publication statusPublished - 1971

    Bibliographical note

    Copyright (1971) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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