Some results on q-harmonic number sums

被引：1
|
作者：
Si, Xin [1 ]
机构：
[1] Xiamen Univ Technol, Sch Appl Math, Xiamen, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
q-harmonic number; q-binomial coefficient; q-polylogarithm function; Q-ZETA FUNCTIONS; EULER SUMS; INTEGRAL-REPRESENTATIONS; Q-ANALOGS; IDENTITIES; POLYNOMIALS; VALUES; SERIES;
D O I：
10.1186/s13662-018-1480-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some relations involving q-Euler type sums, q-harmonic numbers and q-polylogarithms. Then, using the relations obtained with the help of q-analog of partial fraction decomposition formula, we develop new closed form representations of sums of q-harmonic numbers and reciprocal q-binomial coefficients. Moreover, we give explicit formulas for several classes of q-harmonic sums in terms of q-polylogarithms and q-harmonic numbers. The given representations are new.
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页数：16
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