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Research articles

ScienceAsia 49 (2023): 205-211 |doi: 10.2306/scienceasia1513-1874.2022.137


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


Feng Qia,b, Dongkyu Limc,*

 
ABSTRACT:     For In the paper, the authors establish the integral representations, positivity, monotonic properties, convex properties, and limits of the sequences for Several of these results recover the corresponding known conclusions.

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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