Several identities containing central binomial coecients and derived from series expansions of powers of the arcsine function


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Authors

  • Feng Qi
  • Chao-Ping Chen
  • Dongkyu Lim

Keywords:

identity; product; ratio; central binomial coecient; power series expansion; arcsine function; square; cubic; generating function; Catalan number

Abstract

In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing the ratio of two central binomial coffcients which are related to the Catalan numbers in combinatorial number theory

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Published

2022-11-07

How to Cite

Feng Qi, Chao-Ping Chen, & Dongkyu Lim. (2022). Several identities containing central binomial coecients and derived from series expansions of powers of the arcsine function. Results in Nonlinear Analysis, 4(1), 57–64. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/63

Issue

Vol. 4 No. 1 (2021): volume 4 issue 1

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.