Generalization of Spivey's recurrence relation
Number Theory
2024-04-04 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.2404.02413,
title = {Generalization of Spivey's recurrence relation},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2404.02413},
year = {2024}
}
Comments
10 pages