Some possible $q$-generalizations of harmonic numbers
Combinatorics
2011-06-27 v1
Abstract
We study three different -analogues of the harmonic numbers. As applications, we present some generating functions involving number theoretical functions and give the -generalization of Gosper's exponential generating function of harmonic numbers. We involve also the -gamma and -digamma function.
Cite
@article{arxiv.1106.5029,
title = {Some possible $q$-generalizations of harmonic numbers},
author = {István Mező},
journal= {arXiv preprint arXiv:1106.5029},
year = {2011}
}