A NEW PROOF OF SAALSCHÜTZ'S THEOREM FOR THE SERIES 3F2(1) AND ITS CONTIGUOUS RESULTS WITH APPLICATIONS

Title & Authors
A NEW PROOF OF SAALSCHÜTZ'S THEOREM FOR THE SERIES 3F2(1) AND ITS CONTIGUOUS RESULTS WITH APPLICATIONS
Kim, Yong-Sup; Rathie, Arjun Kumar;

Abstract
The aim of this paper is to establish the well-known and very useful classical Saalsch$\small{\ddot{u}}$tz's theorem for the series $\small{_3F_2}$(1) by following a different method. In addition to this, two summation formulas closely related to the Saalsch$\small{\ddot{u}}$tz's theorem have also been obtained. The results established in this paper are further utilized to show how one can obtain certain known and useful hypergeometric identities for the series $\small{_3F_2}$(1) and $\small{_4F_3(1)}$ already available in the literature.
Keywords
Saalsch$\small{\ddot{u}}$tz's theorem;integral transformation;Kummer's transformation;Vandemonde's theorem;
Language
English
Cited by
References
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