Probabilistic bivariate Bell polynomials
Number Theory
2024-03-26 v1 Probability
Abstract
Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. We consider the probabilistic bivariate Bell polynomials associated with Y and the probabilistic bivariate r-Bell polynomials associated with Y. For those polynomials, we derive the recurrence relations corresponding to the ones found by Zheng and Li for the bivariate Bell polynomials and the bivariate r-Bell polynomials.
Cite
@article{arxiv.2403.16670,
title = {Probabilistic bivariate Bell polynomials},
author = {Taekyun Kim and Dae san Kim},
journal= {arXiv preprint arXiv:2403.16670},
year = {2024}
}
Comments
10 pages