Identities for the harmonic numbers and binomial coefficients

被引:0
|
作者
Anthony Sofo
H. M. Srivastava
机构
[1] Victoria University,School of Engineering and Science
[2] University of Victoria,Department of Mathematics and Statistics
来源
The Ramanujan Journal | 2011年 / 25卷
关键词
Harmonic numbers; Riemann zeta function; Polylogarithms; Integral representations; Binomial coefficients; Euler sums; Digamma functions; Polygamma functions; Catalan’s constant; Bernoulli polynomials; Clausen function; 11B65; 33B15; 33C20; 33E05;
D O I
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中图分类号
学科分类号
摘要
We extend some results of Euler related sums. Integral and closed-form representations of sums with products of harmonic numbers and binomial coefficients are developed in terms of Polygamma functions. The various representations presented in this paper are believed to be new.
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页码:93 / 113
页数:20
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