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A new type degenerate Daehee numbers and polynomials

2020/04/19 by Taekyun Kim, Kim, Taekyun, Dae San Kim +5
Mathematics · #05A19 #11B73 #11B83 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:05A19 #msc:11B73 #msc:11B83

paper · pdf · doi:10.48550/arxiv.2004.08743

15 pages

arxiv created 2020/04/19 · openalex publication_date 2020/04/19 · arxiv updated 2020/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study a degenerate version of the Daehee polynomials and numbers, namely the degenerate Daehee polynomials and numbers, which were recently introduced by Jang et. al. We derive their explicit expressions and some identities involving them. Further, we introduce the multiple degenerate Daehee numbers and higher-order degenerate Daehee polynomials and numbers which can be represented in terms of integrals on the unitcube. Again, we deduce their explicit expressions and some identities related to them.

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