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http://dx.doi.org/10.7468/jksmeb.2022.29.2.171

A NOTE ON TWO KNOWN SUMS INVOLVING CENTRAL BINOMIAL COEFFICIENTS WITH AN APPLICATION

Lim, Dongkyu (Department of Mathematics Education, Andong National University)
Rathie, Arjun Kumar (Department of Mathematics, Vedant College of Engineering & Technology, Rajasthan Technical University)

Publication Information

The Pure and Applied Mathematics / v.29, no.2, 2022 , pp. 171-177 More about this Journal

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;

Citations & Related Records

Reference

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