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arXiv · 1701.00394

Identities for the q-harmonic numbers and q-binomial coefficients

Ce Xu
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Abstract

In this paper, we establish a q-analog of partial fraction decomposition formula. By using 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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Ce Xu. 2017-01-02. Identities for the q-harmonic numbers and q-binomial coefficients. https://arxiv.org/abs/1701.00394

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