2024/04/03 by Taekyun Kim, Kim, Taekyun, Dae San Kim +1 · 2 citations
Mathematics · Computer Science · #Functional Equations Stability Results #Logic, programming, and type systems
paper · pdf · doi:10.48550/arxiv.2404.02413
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.