Binomial sums involving Catalan numbers

Wenchang Chu; Emrah Kiliç

doi:10.1216/rmj-2021-51-1221

Abstract

Recently, various interesting binomial sums involving Catalan numbers have been derived and computed. Inspired from them, several binomial sums involving Catalan numbers are evaluated in closed forms using a hypergeometric series approach.

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Wenchang Chu. Emrah Kiliç. "Binomial sums involving Catalan numbers." Rocky Mountain J. Math. 51 (4) 1221 - 1225, August 2021. https://doi.org/10.1216/rmj.2021.51.1221

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Received: 8 November 2020; Revised: 2 January 2021; Accepted: 4 January 2021; Published: August 2021

First available in Project Euclid: 5 August 2021

MathSciNet: MR4298842

zbMATH: 1473.05017

Digital Object Identifier: 10.1216/rmj.2021.51.1221

Subjects:

Primary: 05A10

Secondary: 11B65 , 33C20

Keywords: binomial coefficient , Catalan number , hypergeometric series

Abstract

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