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Title

Convolution identities involving the central binomial coefficients and Catalan numbers

Year: 1400
COI: JR_COMB-10-4_003
Language: EnglishView: 39
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Authors

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

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.

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Paper COI Code

This Paper COI Code is JR_COMB-10-4_003. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1225454/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Batır, Necdet and Kucuk, Hakan and Sorgun, Sezer,1400,Convolution identities involving the central binomial coefficients and Catalan numbers,https://civilica.com/doc/1225454

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