Necdet Batır - Department of Mathematics, Nev¸ sehir Hacı Bekta¸ s Veli University, ۵۰۳۰۰, Nev¸ sehir, Turkey
Hakan Kucuk - Department of Mathematics, Nev¸ sehir Hacı Bekta¸ s Veli University, ۵۰۳۰۰, Nev¸ sehir, Turkey
Sezer Sorgun - Department of Mathematics, Nev¸ sehir Hacı Bekta¸ s Veli University, ۵۰۳۰۰, Nev¸ sehir, Turkey

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.

‎Convolution Identity‎, ‎Combinatorial Identity‎, ‎Central Binomial Coefficient‎, ‎Catalan Number‎, ‎Harmonic Number