A note on degenerate derangement polynomials and numbers
Number Theory
2020-11-18 v1
Abstract
In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions. In more detail, we derive their explicit expressions, recurrence relations and some identities involving the degenerate derangement polynomials and numbers and other special polynomials and numbers, which include the fully degenerate Bell polynomials, the degenerate Fubini polynomials and the degenerate Stirling numbers of both kinds. We also show that those polynomials and numbers are connected with the moments of some variants of the degenerate gamma distributions.
Cite
@article{arxiv.2011.08535,
title = {A note on degenerate derangement polynomials and numbers},
author = {Taekyun Kim and Dae san Kim and Hyunseok Lee and Lee-Chae Jang},
journal= {arXiv preprint arXiv:2011.08535},
year = {2020}
}
Comments
12 pages