Several combinatorial identities derived from series expansions of powers of arcsine
General Mathematics
2021-08-30 v2
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.
Keywords
Cite
@article{arxiv.2101.02027,
title = {Several combinatorial identities derived from series expansions of powers of arcsine},
author = {Feng Qi and Chao-Ping Chen and Dongkyu Lim},
journal= {arXiv preprint arXiv:2101.02027},
year = {2021}
}
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9 pages