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Summation formulas of $q$-hyperharmonic numbers

Published 25 Feb 2021 in math.NT | (2102.12688v2)

Abstract: In this paper, several weighted summation formulas of $q$-hyperharmonic numbers are derived. As special cases, several formulas of hyperharmonic numbers of type $\sum_{\ell=1}{n} {\ell}{p} H_{\ell}{(r)}$ and $\sum_{\ell=0}{n} {\ell}{p} H_{n-\ell}{(r)}$ are obtained.

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