Applications of Two Summation Theorems of Gosper for the F-5(4) Hypergeometric Series

M. I. Qureshi,R. B. Paris, M. Kashif Khan

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS（2023）

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摘要

By means of two summation theorems of R. W. Gosper for a terminating F-5(4) hypergeometric series of arguments 1/4 and 4, we derive two general double-series identities involving a bounded sequence of arbitrary complex numbers. These series are then applied to obtain two reduction formulas for the Srivastava-Daoust double hypergeometric function.

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关键词

generalised hypergeometric function, bounded sequence, Gosper?s summation theorems, Srivastava-Daoust double hypergeometric function

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