Summation formulae Involving Harmonic Numbers

被引：31
|
作者：
Chu, Wenchang [1 ,2 ]
机构：
[1] Univ Salento, Dipartimento Matemat, I-73100 Lecce, Italy
[2] Hangzhou Normal Univ, Inst Combinatorial Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
FILOMAT | 2012年 / 26卷 / 01期
关键词：
Binomial coefficient; Harmonic numbers; Telescoping method; HYPERGEOMETRIC-SERIES; IDENTITIES;
D O I：
10.2298/FIL1201143C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several summation formulae for finite and infinite series involving the classical harmonic numbers are presented. The classical harmonic numbers are defined by H-0 = 0 and H-m = Sigma(m)(k=1) 1/k for m is an element of N. They have interesting applications in various fields, such as analysis, number theory, combinatorics, and computer science. Several important properties of these numbers can be found, for example, in [10, Sections 6.3 and 6.4].
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页码：143 / 152
页数：10
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