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

A. R. Miller; Richard B. Paris

doi:10.4153/CMB-2011-095-6

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

A. R. Miller, Richard B. Paris

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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 language	English
Pages (from-to)	571-578
Number of pages	8
Journal	Canadian Mathematical Bulletin
Volume	55
DOIs	https://doi.org/10.4153/CMB-2011-095-6
Publication status	Published - 2012

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Miller, A. R., & Paris, R. B. (2012). A generalised Kummer-type transformation for the pFp(x) hypergeometric function. Canadian Mathematical Bulletin, 55, 571-578. https://doi.org/10.4153/CMB-2011-095-6

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10.4153/CMB-2011-095-6