A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application

Mohamed Mohamed Awad; Asmaa Orabi Mohammed

doi:10.20944/preprints202307.1211.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 18 July 2023 / Approved: 18 July 2023 / Online: 18 July 2023 (10:31:24 CEST)

In applied mathematics, statistics, operation research, physics, and engineering mathematics, confluent representations of hypergeometric functions in one and two variables are known to exist, and their occurrence in a variety of applications is also well recognised. In this article, we intend to present a new derivation of the extended Watson summation theorem for the Kim et al. given series 4F3. We assessed four attractive integrals involving generalized hypergeometric function as an application. With a few particular cases, this note will come to an end. In the results given above, symmetry appears on its own.

Generalized hypergeometic function; Extended Watson theorem; Gauss theorem; Special cases

Computer Science and Mathematics, Mathematics

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A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application

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