A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials

Taekyun Kim, Dae San Kim, Jin-Woo Park, Jongkyum Kwon and Kenan Yildirim

Journal of Mathematics, 2023, vol. 2023, 1-7

Abstract: Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. 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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3810046

DOI: 10.1155/2023/3810046

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