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

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 seri...

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Main Authors: Kumar, B. R. Srivatsa, Kilicman, Adem, Rathie, Arjun K.
Format: Article
Published: Hindawi 2022
Online Access:http://psasir.upm.edu.my/id/eprint/100328/
https://www.hindawi.com/journals/jfs/2022/1408543/
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spelling my.upm.eprints.1003282024-01-29T04:23:44Z http://psasir.upm.edu.my/id/eprint/100328/ Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients Kumar, B. R. Srivatsa Kilicman, Adem Rathie, Arjun K. 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. Hindawi 2022-01-27 Article PeerReviewed 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 https://www.hindawi.com/journals/jfs/2022/1408543/ 10.1155/2022/1408543
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description 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.
format Article
author Kumar, B. R. Srivatsa
Kilicman, Adem
Rathie, Arjun K.
spellingShingle Kumar, B. R. Srivatsa
Kilicman, Adem
Rathie, Arjun K.
Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients
author_facet Kumar, B. R. Srivatsa
Kilicman, Adem
Rathie, Arjun K.
author_sort Kumar, B. R. Srivatsa
title Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients
title_short Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients
title_full Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients
title_fullStr Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients
title_full_unstemmed Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients
title_sort applications of lehmer’s infinite series involving reciprocals of the central binomial coefficients
publisher Hindawi
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/100328/
https://www.hindawi.com/journals/jfs/2022/1408543/
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score 13.211869

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