Research Article

Probabilistic bivariate Bell polynomials

Published in: Quaestiones Mathematicae
Volume 48 , issue 8 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1183–1196
DOI: 10.2989/16073606.2025.2472878
Author(s): Dae San Kim Sogang University, Republic of Korea, Taekyun Kim Kwangwoon University, Republic of Korea,
Keywords: 11B73, 11B83, 60-08, Probabilistic bivariate Bell polynomials, probabilistic bivariate r-Bell polynomials,
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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.
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