Polynomials with r-Lah coefficient and hyperharmonic numbers
Number Theory
2020-12-02 v1
Abstract
In this paper, we take advantage of the Mellin type derivative to produce some new families of polynomials whose coefficients involve r-Lah numbers. One of these polynomials leads to rediscover many of the identities of r-Lah numbers. We show that some of these polynomials and hyperharmonic numbers are closely related. Taking into account of these connections, we reach several identities for harmonic and hyperharmonic numbers.
Cite
@article{arxiv.1911.06801,
title = {Polynomials with r-Lah coefficient and hyperharmonic numbers},
author = {Levent Kargın and Mümün Can},
journal= {arXiv preprint arXiv:1911.06801},
year = {2020}
}