Second Order Alternating Harmonic Number Sums

被引：3
作者：
Sofo, Anthony [1 ]
机构：
[1] Victoria Univ, POB 14428, Melbourne, Vic 8001, Australia
来源：
FILOMAT | 2016年 / 30卷 / 13期
关键词：
Combinatorial series identities; Summation formulas; Integral representation; Partial fraction approach; Alternating harmonic numbers; Binomial coefficients; Polylogarithm function; IDENTITIES; DIGAMMA;
D O I：
10.2298/FIL1613511S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop new closed form representations of sums of alternating harmonic numbers of order two and reciprocal binomial coefficients. Moreover we develop new integral representations in terms of harmonic numbers of order two.
引用
收藏
页码：3511 / 3524
页数：14
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