Summation formulas of $q$-hyperharmonic numbers

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.

Afrika Matematika