Version 1
: Received: 18 July 2023 / Approved: 18 July 2023 / Online: 18 July 2023 (10:31:24 CEST)
How to cite:
Awad, M. M.; Mohammed, A. O. A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application. Preprints2023, 2023071211. https://doi.org/10.20944/preprints202307.1211.v1
Awad, M. M.; Mohammed, A. O. A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application. Preprints 2023, 2023071211. https://doi.org/10.20944/preprints202307.1211.v1
Awad, M. M.; Mohammed, A. O. A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application. Preprints2023, 2023071211. https://doi.org/10.20944/preprints202307.1211.v1
APA Style
Awad, M. M., & Mohammed, A. O. (2023). A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application. Preprints. https://doi.org/10.20944/preprints202307.1211.v1
Chicago/Turabian Style
Awad, M. M. and Asmaa Orabi Mohammed. 2023 "A new Derivation of Extended Watson Summation Theorem due to Kim et al. with an Application" Preprints. https://doi.org/10.20944/preprints202307.1211.v1
Abstract
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.
Keywords
Generalized hypergeometic function; Extended Watson theorem; Gauss theorem; Special cases
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.