Malaysian Journal of Mathematical Sciences, December 2022, Vol. 16, No. 4


Some Convolution Identities for Catalan Numbers

Rakhimov, I., Mohd Atan, K. A., and Hadi, N. A.

Corresponding Email: isamiddin@uitm.edu.my

Received date: 20 May 2022
Accepted date: 12 October 2022

Abstract:
In the paper, we propose a series of convolution identities for the sequence of Catalan numbers. The proofs of two of them are provided and the other identities are proposed as conjectures. We include a simple Maple code to generate and confirm the identities.

Keywords: Catalan number; convolution identity; binomial