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ISSN : 1226-0657

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Vol.29 No.2

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A note on two known sums involving central binomial coefficients with an application

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.2, pp.171-177
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.171
Lim, Dongkyu
Rathie, Arjun Kumar
Lim,, D. , & Rathie,, A. K. (2022). A note on two known sums involving central binomial coefficients with an application. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(2), 171-177, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.171

Abstract

The aim of this note is to establish two known sums involving central binomial coefficients via a hypergeometric series approach. As an application, we discover two new closed-form evaluations of generalized hypergeometric function.

keywords
sum, series, alternating series, central binomial coefficient, proof, generalized hypergeometric function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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