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 | |
| 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