A note on degenerate Stirling numbers of the first kind
Number Theory
2018-02-06 v1
Abstract
Recently, the degenerate Stirling numbers of the first kind were introduced. In this paper, we give some formulas for the degenerate Stirling numbers of the first kind in the terms of the complete Bell polynomials with higher-order harmonic number arguments. Also, we derive an identity connecting the degenerate Stirling numbers of the first kind and the degenerate derangement numbers by using probabilistic method.
Keywords
Cite
@article{arxiv.1802.00896,
title = {A note on degenerate Stirling numbers of the first kind},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:1802.00896},
year = {2018}
}
Comments
12 pages