CONVOLUTION IDENTITIES INVOLVING THE CENTRAL BINOMIAL COEFFICIENTS AND CATALAN NUMBERS

被引：5

作者：

Batir, Necdet ^{[1
]}

Kucuk, Hakan ^{[1
]}

Sorgun, Sezer ^{[1
]}

机构：

[1] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey

来源：

TRANSACTIONS ON COMBINATORICS | 2021年 / 10卷 / 04期

关键词：

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

D O I：

10.22108/toc.2021.127505.1821

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Hajos.

引用

页码：225 / 238

页数：14

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