Poisson degenerate central moments related to degenerate Dowling and degenerate r-Dowling polynomials

Abstract

Degenerate Dowling and degenerate r-Dowling polynomials were introduced earlier as degenerate versions and further generalizations of Dowling and r-Dowling polynomials. The aim of this paper is to show their connections with Poisson degenerate central moments for a Poisson random variable with a certain parameter and with Charlier polynomials.

Keywords

• degenerate r-whitney numbers of the second kind
• degenerate r-dowling polynomials
• poisson random variable
• poisson degenerate central moments
• charlier polynomials