Integral representations and properties of several finite sums containing central binomial coefficients

Feng Qi^a,b, Dongkyu Limc,*

ABSTRACT: For m ? 0 and n ? N, let S ? m,n = Pn k=1

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^a	Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China
^b	Independent Researcher, Dallas, TX 75252-8024, USA
^c	Department of Mathematics Education, Andong National University, Andong 36729, Republic of Korea

* Corresponding author, E-mail: dklim@anu.ac.kr

Received 26 Feb 2022, Accepted 17 Aug 2022