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 |
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Pages (from-to) | 571-578 |
Number of pages | 8 |
Journal | Canadian Mathematical Bulletin |
Volume | 55 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Sep 2012 |
Keywords
- Generalised hypergeometric series
- Kummer transformation
- 33C15
- 33C20