Generalized harmonic number identities and a related matrix representation

被引：18

作者：

Cheon, Gi-Sang ^{[1
]}

El-Mikkawy, Moawwad E. A.

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 02期

关键词：

harmonic numbers; Riemann zeta function; Stirling numbers; Bernoulli numbers; symmetric polynomials;

D O I：

10.4134/JKMS.2007.44.2.487

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain important combinatorial identities of generalized harmonic numbers using symmetric polynomials. We also obtain the matrix representation for the generalized harmonic numbers whose inverse matrix can be computed recursively.

引用

页码：487 / 498

页数：12

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