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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Hindawi
2022
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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 |
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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/ |
| _version_ |
1789426931215630336 |
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13.251813 |