Generalized Fubini transform with two variables

Abstract

This paper aims to investigate a new class of generalized Fubini polynomials. Firstly, we derive a general identity which generalizes the Fubini transform of a sequence. Secondly, we give in particular case and we establish a relationship between generalized Fubini polynomials and more polynomials as Fubini, Bell, Eulerian and Frobenius-Euler polynomials. Finally, we give the probabilistic representation and the degenerate of this class.