On degenerate generalized Fubini polynomials

The $n$-th Fubini number counts the number of ordered partitions of a set with $n$ elements and is the number of possible ways to write the Fubini formula for a summation of integration of order $n$. Further, Fubini polynomials are natural extensions of the Fubini numbers. Recently, the generalized Fubini polynomials were introduced by Sebaoui-Laissaoui-Guettai-Rahmani, as one of the variants of the Fubini polynomials. The aim of this paper is to study the degenerate generalized Fubini polynomials, which are a degenerate version of those polynomials, and to find an application of them to probability theory in connection with geometric random variable.