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Bibliographic Details
Main Authors: Kim, Taekyun, Kim, Dae San
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.02413
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Table of Contents:
  • 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.