Dergiler / Results in Nonlinear Analysis / 2021 / Cilt: 4 - Sayı: 1

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

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

Feng Qİ, Chao-ping CHEN, Dongkyu LIM

Sayfa
57–64
DOI
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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.