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Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients


Citation

Kumar, B. R. Srivatsa and Kilicman, Adem and Rathie, Arjun K. (2022) Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients. Journal of Function Spaces, 2022. art. no. 1408543. pp. 1-6. ISSN 2314-8896; ESSN: 2314-8888

Abstract

The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function for . This is achieved by means of separating the generalized hypergeometric function () into even and odd components together with the use of several known infinite series involving reciprocals of the central binomial coefficients obtained earlier by Lehmer.


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Official URL or Download Paper: https://www.hindawi.com/journals/jfs/2022/1408543/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2022/1408543
Publisher: Hindawi
Keywords: Generalized hypergeometric functions; Central binomial coefficients; Lehmer
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 29 Jan 2024 04:23
Last Modified: 29 Jan 2024 04:23
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2022/1408543
URI: http://psasir.upm.edu.my/id/eprint/100328
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