Euler sums of generalized alternating hyperharmonic numbers II

Rusen Li

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arXiv · 2108.00826

Euler sums of generalized alternating hyperharmonic numbers II

Rusen Li

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Abstract

In this paper, we introduce a new type of generalized alternating hyperharmonic numbers $H_n^{(p,r,s_{1},s_{2})}$, and show that Euler sums of the generalized alternating hyperharmonic numbers $H_n^{(p,r,s_{1},s_{2})}$ can be expressed in terms of linear combinations of classical (alternating) Euler sums.

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Rusen Li. 2021-07-21. Euler sums of generalized alternating hyperharmonic numbers II. https://arxiv.org/abs/2108.00826

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