2024/12/04 by Taekyun Kim, Kim, Taekyun, Dae san Kim +1
Mathematics · #11B68 #11B73 #11B83 #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2412.03119
openalex publication_date 2024/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to study degenerate Eulerian polynomials and degenerate Eulerian numbers, respectively as degenerate versions of the Eulerian polynomials and the Eulerian numbers, and to derive some of their properties. Specifically, we derive an identity, recursive relations, generating function and degenerate version of Worpitzky's identity for the degenerate Eulerian polynomials and numbers. In addition, we obtain several results involving the degenerate Stirling numbers of the second kind and the degenerate Bernoulli numbers as well as the degenerate Eulerian numbers.