Representations by ordered Bell and degenerate ordered Bell polynomials

2021/10/07 by Dae san Kim, Kim, Dae san, Taekyun Kim +1
Mathematics · Physics and Astronomy · #05A19 #05A40 #11B68 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2110.03178

openalex publication_date 2021/10/07 · openalex created_date 2021/10/11 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the problem of representing any polynomial in terms of the ordered Bell and degenerate ordered Bell polynomials, and more generally of the higher-order ordered Bell and higher-order degenerate ordered Bell polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.

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