A note on multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials

Autor: Kim, Taekyun, Kim, Dae San, park, Jin-Woo, Kwon, Jongkyum
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 9 pages
Databáze: arXiv