Summation formulas of $q$-hyperharmonic numbers

Takao Komatsu; Rusen Li

Summation formulas of $q$-hyperharmonic numbers

Number Theory 2021-03-04 v2

Authors: Takao Komatsu , Rusen Li

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.

Keywords

exponential sums q-series and q-analogues

Cite

@article{arxiv.2102.12688,
  title  = {Summation formulas of $q$-hyperharmonic numbers},
  author = {Takao Komatsu and Rusen Li},
  journal= {arXiv preprint arXiv:2102.12688},
  year   = {2021}
}

Comments

Afrika Matematika

Related papers

View all related →