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

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.

Bibliographic Details
Main Author: Feng Qi, Chao-Ping Chen , Dongkyu Lim
Format: Article
Language:English
Published: Erdal KARAPINAR 2021-03-01
Series:Results in Nonlinear Analysis
Subjects:
identity
product
ratio
central binomial coefficient
power series expansion
arcsine function
square
cubic
generating function
catalan number
Online Access:https://dergipark.org.tr/en/download/article-file/1528927

Internet

https://dergipark.org.tr/en/download/article-file/1528927

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