Applications of Lehmer's infinite series involving reciprocals of the central binomial coefficients (Q2670260)
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| English | Applications of Lehmer's infinite series involving reciprocals of the central binomial coefficients |
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Applications of Lehmer's infinite series involving reciprocals of the central binomial coefficients (English)
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10 March 2022
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Summary: The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function \(_{q + 1}F_q(z)\) for \(q=2, 3, 4, 5\). This is achieved by means of separating the generalized hypergeometric function \(_{q+1}F_q(z)\) (\(q=2, 3, 4, 5\)) 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.
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