Study on r-truncated degenerate stirling numbers of the second kind
Number Theory
2022-06-10 v1
Abstract
The degenerate Stirling numbers of the second kind and of the first kind, which are respectively degenerate versions of the Stirling numbers of the second kind and of the first kind, appear frequently when we study various degenerate versions of some special numbers and polynomials. The aim of this paper is to consider the r-truncated degenerate Stirling numbers of the second kind, which reduce to the degenerate Stirling numbers of the second for r = 1, and to investigate their explicit expressions, some properties and related identities, in connection with several other degenerate special numbers and polynomials.
Keywords
Cite
@article{arxiv.2206.04402,
title = {Study on r-truncated degenerate stirling numbers of the second kind},
author = {Taekyun Kim and Dae san Kim and Hye Kyung Kim},
journal= {arXiv preprint arXiv:2206.04402},
year = {2022}
}
Comments
12 pages