학술논문

Probabilistic central Bell polynomials
Document Type
Working Paper
Source
Subject
Mathematics - Number Theory
11B73, 11B83
Language
Abstract
Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. In this paper, we study the probabilistic central Bell polynomials associated with random variable Y, as probabilistic extension of the central Bell polynomials. In addition, we investigate the probabilistic central factorial numbers of the second kind associated with Y and the probabilistic central Fubini polynomials associated with Y. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers.
Comment: 12 pages