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THE FACTORIAL MOMENT OF A POISSON RANDOM VARIABLE AND THE $q$-NONCENTRAL DOWLING NUMBERS
Keywords:
Poisson random variable, factorial moment, Dowling numbersDOI:
https://doi.org/10.17654/0972086325021Abstract
This paper explores the nth q-factorial moments of a Poisson random variable and their connection to the q-noncentral Dowling polynomials and numbers. Fundamental properties are established, and several special cases are presented.
Received: October 24, 2025
Revised: November 24, 2025
Accepted: November 29, 2025
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