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

A. R. Miller, Richard B. Paris

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1 Citation (Scopus)


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
Publication statusPublished - 2012


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