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 Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) into even and odd components together with the use...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1408543 |
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| author | B. R. Srivatsa Kumar Adem Kılıçman Arjun K. Rathie |
| author_facet | B. R. Srivatsa Kumar Adem Kılıçman Arjun K. Rathie |
| author_sort | B. R. Srivatsa Kumar |
| collection | DOAJ |
| description | The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) 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 |
| id | doaj-art-17c4be932a7f45469ae1a3e604aafe52 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-17c4be932a7f45469ae1a3e604aafe522025-02-03T05:53:07ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1408543Applications of Lehmer’s Infinite Series Involving Reciprocals of the Central Binomial CoefficientsB. R. Srivatsa Kumar0Adem Kılıçman1Arjun K. Rathie2Department of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsThe main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) 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.http://dx.doi.org/10.1155/2022/1408543 |
| spellingShingle | B. R. Srivatsa Kumar Adem Kılıçman Arjun K. Rathie Applications of Lehmer’s Infinite Series Involving Reciprocals of the Central Binomial Coefficients Journal of Function Spaces |
| 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://dx.doi.org/10.1155/2022/1408543 |
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