✦ LIBER ✦

On the reducibility of the Kampé deFériet function

✍ Scribed by Harold Exton

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 125 KB
Volume: 83
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)86597-1

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✦ Synopsis

The existing list of reducible cases of double hypergeometric functions is supplemented by the use of summation theorems for nearly poised hypergeometric functions. A few new relations for single hypergeometric functions emerge as special cases. Relations of this type are useful for computing purposes.

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By using a technique of HORN [4], the authors discuss hcre the convergence conditions of the double hypergeometric series of the generalized K A ~I P ~ DE FBRIET function introduced earlier by them [7]. It is shonn that the recent observations of RAGAB [(i] would follow fairly easily by suitably spe