A Generalised Kummer-Type Transformation for the F-p(p)(x) Hypergeometric Function

作者：Miller A R^*; Paris R B

来源：Canadian Mathematical Bulletin, 2012, 55(3): 571-578.

DOI：10.4153/CMB-2011-095-6

• generalised hypergeometric series
• Kummer transformation

In a recent paper, Miller derived a Kummer-type transformation for the generalised hypergeometric function F-p(p)(x) when pairs of parameters differ by unity, by means of a reduction formula for a certain Kampe de Feriet 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.

• 出版日期2012-9