✦ LIBER ✦

New hypergeometric identities arising from Gauss's second summation theorem

✍ Scribed by H. Exton

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 209 KB
Volume: 88
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00189-1

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✦ Synopsis

The elementary manipulation of series is applied to obtain a quite general transformation involving hypergeometric functions. A number of hypergeometric identities not previously recorded in the literature are then deduced from Gauss's second summation theorem and other hypergeometric summation theorems. (~) 1997 Elsevier Science B.V. All rights reserved.