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Some identities on r-central factorial numbers and r-central Bell polynomials

2019/03/23 by Dae San Kim, Dmitry V. Dolgy, Kim, Dae San +5
Mathematics · Physics and Astronomy · #05A19 #11B73 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:05A19 #msc:11B73 #msc:11B83

paper · pdf · doi:10.48550/arxiv.1903.11689

10 pages

arxiv created 2019/03/23 · openalex publication_date 2019/03/23 · arxiv updated 2019/03/29 · openalex created_date 2019/04/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the extended r-central factorial numbers of the second and first kinds and the extended r-central Bell polynomials, as extended versions and central analogues of some previously introduced numbers and polynomials. Then we study various properties and identities related to these numbers and polynomials and also their connections.

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