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Summation formulas of q-hyperharmonic numbers

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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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Authors are grateful to the anonymous referee for helpful comments.

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Correspondence to Takao Komatsu.

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Komatsu, T., Li, R. Summation formulas of q-hyperharmonic numbers. Afr. Mat. 32, 1179–1192 (2021). https://doi.org/10.1007/s13370-021-00891-9

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