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Probabilistic Lah numbers and Lah-Bell polynomials
- Publication Year :
- 2024
-
Abstract
- Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. The aim of this paper is to study the probabilistic Lah numbers associated with Y and the probabilistic Lah-Bell polynomials associated with Y, as probabilistic versions of the Lah numbers and the Lah-Bell polynomials, respectively. We derive some properties, explicit expressions, recurrence relations and certain identities for those numbers and polynomials. In addition, we treat the special cases that Y is the Poisson random variable with parameter {\alpha} > 0 and the Bernoulli random variable with probability of success p.<br />Comment: 10 pages
- Subjects :
- Mathematics - Number Theory
Mathematics - Probability
11B73, 11B83
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.01200
- Document Type :
- Working Paper