Generalization of harmonic sums involving inverse binomial coefficients

被引：5
|
作者：
Ripon, Sarowar Morshed [1 ]
机构：
[1] Bangladesh Univ Engn & Technol, Dept Ind & Prod Engn, Dhaka, Bangladesh
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 10期
关键词：
harmonic numbers; Hurwitz Zeta functions; binomial coefficients; multiple integral representations; bell polynomials; CLOSED-FORM; EULER SUMS; REPRESENTATIONS;
D O I：
10.1080/10652469.2014.928705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized theorem related to harmonic sums is investigated from which we are able to represent an infinite number of sums of harmonic numbers in both multiple integral and closed forms. The new theorem generalizes known existing results in the published literature.
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页码：821 / 835
页数：15
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