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...
| Main Authors: | , , |
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| Format: | Article |
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Hindawi
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100328/ |
| _version_ | 1848863296020545536 |
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| author | Kumar, B. R. Srivatsa Kilicman, Adem Rathie, Arjun K. |
| author_facet | Kumar, B. R. Srivatsa Kilicman, Adem Rathie, Arjun K. |
| author_sort | Kumar, B. R. Srivatsa |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:30:39Z |
| format | Article |
| id | upm-100328 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:30:39Z |
| publishDate | 2022 |
| publisher | Hindawi |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Kumar, B. R. Srivatsa Kilicman, Adem Rathie, Arjun K. Applications of Lehmer’s infinite series involving reciprocals of the central binomial coefficients |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/100328/ http://psasir.upm.edu.my/id/eprint/100328/ http://psasir.upm.edu.my/id/eprint/100328/ |