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arXiv · 2208.07549

On generalized degenerate Euler-Genocchi polynomials

Taekyun Kim·Dae San Kim·Hye Kyung Kim
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Abstract

We introduce the generalized degenerate Euler-Genocchi polynomials as a degenerate version of the Euler-Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler-Genocchi polynomials of order {\alpha}, as a degenerate version of the generalized Euler-Genocchi polynomials of order {\alpha}. The aim of this paper is to study certain properties and identities involving those polynomials, the generalized falling factorials, the degenerate Euler polynomials of order {\alpha}, the degenerate Stirling numbers of the second kind, and the alternating degenerate power sum of integers.

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Taekyun Kim, Dae San Kim, Hye Kyung Kim. 2022-08-16. On generalized degenerate Euler-Genocchi polynomials. https://arxiv.org/abs/2208.07549

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