Identities for the q-harmonic numbers and q-binomial coefficients
Number Theory
2017-10-24 v3
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.
Cite
@article{arxiv.1701.00394,
title = {Identities for the q-harmonic numbers and q-binomial coefficients},
author = {Ce Xu},
journal= {arXiv preprint arXiv:1701.00394},
year = {2017}
}
Comments
This paper has been withdrawn by the author due to some errors