Geodesic
A Generalised Kummer-Type Transformation for the pFp (x) Hypergeometric Function
Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 571-578

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper, Miller derived a Kummer-type transformation for the generalised hypergeometric function $_{p}{{F}_{p}}(x)$ 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 $p\,=\,1$
DOI : 10.4153/CMB-2011-095-6
Mots-clés : 33C15, 33C20, generalised hypergeometric series, Kummer transformation 
Miller, A. R.; Paris, R. B. A Generalised Kummer-Type Transformation for the pFp (x) Hypergeometric Function. Canadian mathematical bulletin, Tome 55 (2012) no. 3, pp. 571-578. doi: 10.4153/CMB-2011-095-6
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