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A note on generalizations of Bailey's identity involving products of generalized hypergeometric series


Citation

Kilicman, Adem and Kurumujji, Shantha Kumari and Rathie, Arjun K. (2022) A note on generalizations of Bailey's identity involving products of generalized hypergeometric series. Communication of the Korean Mathematical Society, 37 (2). pp. 575-583. ISSN 1225-1763; ESSN: 2234-3024

Abstract

In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity involving products of generalized hypergeometric series in the most general form. A few known, as well as new results, have also been obtained as special cases of our main findings.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.4134/CKMS.c210178
Publisher: Korean Mathematical Society
Keywords: Generalized hypergeometric series; Bailey identity; Kummer transformations
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 09 Jul 2024 03:13
Last Modified: 09 Jul 2024 03:13
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.4134/CKMS.c210178
URI: http://psasir.upm.edu.my/id/eprint/100260
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