A generalised Kummer-type transformation for the pFp(x) hypergeometric function

A. R. Miller, Richard B. Paris

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    In a recent paper, Miller derived a Kummer-type transformation for the generalised hypergeometric function pFp(x) when pairs of parameters differ by unity, by means of a reduction formula for a certain Kampé de Fériet function. An alternative and simpler derivation of this transformation is obtained here by application of the well-known Kummer transformation for the confluent hypergeometric function corresponding to p=1.
    Original languageEnglish
    Pages (from-to)571-578
    Number of pages8
    JournalCanadian Mathematical Bulletin
    Volume55
    Issue number3
    DOIs
    Publication statusPublished - 1 Sep 2012

    Keywords

    • Generalised hypergeometric series
    • Kummer transformation
    • 33C15
    • 33C20

    Fingerprint

    Dive into the research topics of 'A generalised Kummer-type transformation for the pFp(x) hypergeometric function'. Together they form a unique fingerprint.

    Cite this