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arXiv · 2102.12688

Summation formulas of $q$-hyperharmonic numbers

Takao Komatsu·Rusen Li
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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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Takao Komatsu, Rusen Li. 2021-02-25. Summation formulas of $q$-hyperharmonic numbers. https://arxiv.org/abs/2102.12688

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