Extended stirling polynomials of the second kind and extended Bell polynomials

2017/05/23 by Taekyun Kim, Kim, Taekyun, Dae San Kim +1 · 1 citation
Mathematics · #11B7 #11B83 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1705.08375

openalex publication_date 2017/05/23 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

Recently, several authors have studied the Stirling numbers of the second kind and Bell polynomials. In this paper, we study the extended Stirling polynomials of the second kind and the extended Bell polynomials associated with the Stirling numbers of the second kind. In addition, we note that the extended Bell polynomials can be expressed in terms of the moments of the Poisson random variable with parameter

Cited by

• Hurwitz--Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers and Polynomials with Parameters (α,a)

Related

• Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials
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• Various applications of the (exponential) complete Bell polynomials
• A probabilistic generalization of the Stirling numbers of the second kind