Generalization of Spivey's recurrence relation

Autor:	Kim, Taekyun, Kim, Dae San
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Combinatorics 11B73 11B83
Druh dokumentu:	Working Paper
Popis:	In 2008, Spivey found a recurrence relation for the Bell numbers. We consider the probabilistic r-Bell polynomials associated with which are a probabilistic extension of the r-Bell polynomials. Here Y is a random variable whose moment generating function exists in some neighborhood of the origin . The aim of this paper is to generalize the relation for the Bell numbers to that for the probabilistic r-Bell polynomials associated with Y. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.02413 Zobrazit plný text záznamu View this record from Arxiv