# Convolution identities involving the central binomial coefficients and Catalan numbers

Document Type : Research Paper

Authors

Department of Mathematics, Nev¸ sehir Hacı Bekta¸ s Veli University, 50300, Nev¸ sehir, Turkey

Abstract

We generalize some convolution identities due to Witula and Qi et al‎. ‎involving the central binomial coefficients and Catalan numbers‎. ‎Our formula allows us to establish many new identities involving these important quantities‎, ‎and recovers some known identities in the literature‎. ‎Also‎, ‎we give new proofs of Shapiro's Catalan convolution and a famous identity of Haj'{o}s‎.

Keywords

Main Subjects

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