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

被引：0

作者：

Lim, Dongkyu ^{[1
]}

Rathie, Arjun Kumar ^{[2
]}

机构：

[1] Andong Natl Univ, Dept Math Educ, Andong 36729, South Korea

[2] Rajasthan Tech Univ, Vedant Coll Engn & Technol, Dept Math, Bundi 323021, Rajasthan, India

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2022年 / 29卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

sum; series; alternating series; central binomial coefficient; proof; generalized hypergeometric function;

D O I：

10.7468/jksmeb.2022.29.2.171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：171 / 177

页数：7

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