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Open AccessMathematics

Several combinatorial identities derived from series expansions of powers of arcsine

Feng Qi, Chao-Ping Chen, Dongkyu Lim

2021.1.3Results in Nonlinear Analysis

DOI: 10.53006/rna.867047

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 coefficients which are related to the Catalan numbers in combinatorial number theory.

Citation format

QI, Feng; CHEN, Chao-Ping; LIM, Dongkyu. Several combinatorial identities derived from series expansions of powers of arcsine [preprint]. arXiv, 2021. arXiv:2101.02027.