On a result related to transformations and summations of generalized hypergeometric series

A. R. Miller, Richard B. Paris

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type transformations of a subclass of the generalized hypergeometric functions mentioned above together with an extension of the Karlsson-Minton summation formula are provided.
    Original languageEnglish
    Pages (from-to)205-210
    Number of pages6
    JournalMathematical Communications
    Volume17
    Issue number1
    Publication statusPublished - 2012

    Keywords

    • Transformation and summation formulas
    • Generalized hypergeometric functions and series

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