Probabilistic central Bell polynomials
Number Theory
2024-03-04 v1
Abstract
Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. In this paper, we study the probabilistic central Bell polynomials associated with random variable Y, as probabilistic extension of the central Bell polynomials. In addition, we investigate the probabilistic central factorial numbers of the second kind associated with Y and the probabilistic central Fubini polynomials associated with Y. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers.
Cite
@article{arxiv.2403.00468,
title = {Probabilistic central Bell polynomials},
author = {R. Xu and Y. Ma and T. Kim and D. S. Kim and S. Boulaars},
journal= {arXiv preprint arXiv:2403.00468},
year = {2024}
}
Comments
12 pages