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Degenerate central factorial numbers of the second kind

2019/02/12 by Taekyun Kim, Kim, Taekyun, Dae San Kim +2
Mathematics · #11B75 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B75 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1902.04360

9 pages

arxiv created 2019/02/12 · openalex publication_date 2019/02/12 · arxiv updated 2019/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the degenerate central factorial polynomials and numbers of the second kind which are degenerate versions of the central factorial polynomials and numbers of the second kind. We derive some properties and identities for those polynomials and numbers. We obtain, among other things, recursive formulas for the degenerate central factorial polynomials and numbers of the second kind.

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