2015/07/08 by Taekyun Kim, Kim, Taekyun, Dae san Kim +1
Mathematics · #05A19 #18B37 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:05A19 #msc:18B37
paper · pdf · doi:10.48550/arxiv.1507.02052
12 pages
arxiv created 2015/07/08 · openalex publication_date 2015/07/08 · arxiv updated 2015/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, several authors have studied the degenerate Bernoulli and Euler polynomials and given some intersting identities of those polynomials. In this paper, we consider the degenerate Bell numbers and polynomials and derive some new identities of those numbers and polynomials associated with special numbers and polynomials. In addition, we investigate some properties of the degenerate Bell polynomials which are derived by using the notion of composita. From our investigation, we give some new relations between the degenerate Bell polynomials and the special polynomials.