✦ LIBER ✦

A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series

✍ Scribed by H. M. Srivastava; Martha C. Daoust

Publisher: John Wiley and Sons
Year: 1972
Tongue: English
Weight: 315 KB
Volume: 53
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19720530114

No coin nor oath required. For personal study only.

✦ Synopsis

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 specializing the results of the present note. Also the method employed here is appropriately extended to obtain the domain of convergence of the authors' multiple hypergeometric series associated with the generalized LAURICELLA function of several variables [S].

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