A note on multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials
Number Theory
2023-01-18 v1
Abstract
Recently, introduced are the generalized Euler-Genocchi and generalized degenerate Euler-Genocchi polynomials. The aim of this note is to study the multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials which are defined by means of the multiple logarithm and generalize respectively the generalized Euler-Genocchi and generalized degenerate Euler-Genocchi polynomials. Especially, we express the former by the generalized Euler-Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind, and the latter by the generalized degenerate Euler-Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind.
Cite
@article{arxiv.2301.05929,
title = {A note on multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials},
author = {Taekyun Kim and Dae San Kim and Jin-Woo park and Jongkyum Kwon},
journal= {arXiv preprint arXiv:2301.05929},
year = {2023}
}
Comments
9 pages