Abstract
| 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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A generalised Kummer-type transformation for the pFp(x) hypergeometric function. / Miller, A. R.; Paris, Richard B.
In: Canadian Mathematical Bulletin, Vol. 55, 2012, p. 571-578.Research output: Contribution to journal › Article
TY - JOUR
T1 - A generalised Kummer-type transformation for the pFp(x) hypergeometric function
AU - Miller, A. R.
AU - Paris, Richard B.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
U2 - 10.4153/CMB-2011-095-6
DO - 10.4153/CMB-2011-095-6
M3 - Article
VL - 55
SP - 571
EP - 578
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
SN - 0008-4395
ER -