Title of article
Convolution identities involving the central binomial coefficients and Catalan numbers
Author/Authors
Batır, Necdet Department of Mathematics - Nev sehir Hacı Bekta - s Veli University, Turkey , Kucuk, Hakan Department of Mathematics - Nev sehir Hacı Bekta - s Veli University, Turkey , Sorgun, Sezer Department of Mathematics - Nev sehir Hacı Bekta - s Veli University, Turkey
Pages
14
From page
225
To page
238
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
Convolution Identity , Combinatorial Identity , Central Binomial Coefficient , Catalan Number , Harmonic Number
Journal title
Transactions on Combinatorics
Serial Year
2021
Record number
2698142
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