Probabilistic degenerate central Bell polynomials

Li Chen, Taekyun Kim, Dae San Kim, Hyunseok Lee and Si-Hyeon Lee

Mathematical and Computer Modelling of Dynamical Systems, 2024, vol. 30, issue 1, 523-542

Abstract: Assume that $Y$Y is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with $Y$Y, as probabilistic extension of the degenerate central Bell polynomials. In addition, we investigate the probabilistic degenerate central factorial numbers of the second kind associated with $Y$Y and the probabilistic degenerate central Fubini polynomials associated with $Y$Y. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers.

Date: 2024
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DOI: 10.1080/13873954.2024.2358899

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