Combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers

被引：2

作者：

Batir, Necdet ^{[1
]}

Chen, Kwang-Wu ^{[2
]}

机构：

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

[2] Univ Taipei, Dept Math, Taipei, Taiwan

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2022年 / 28卷 / 02期

关键词：

Combinatorial identity; binomial sum; binomial coefficient; central binomial coefficient; harmonic number; harmonic number sum; INVERSES; SERIES; SUMS;

D O I：

10.1080/10236198.2022.2037578

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a general combinatorial formula involving the reciprocals of the binomial coefficients and the partial sum of an arbitrary sequence. Applying this formula we offer many combinatorial identities involving reciprocals of the binomial and central binomial coefficients and harmonic numbers; some of which have been considered previously and the others are new.

引用

页码：222 / 243

页数：22

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