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: | , , |
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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/ https://www.hindawi.com/journals/jfs/2022/1408543/ |
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| Summary: | 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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