Madjid SEBAOUİ, Diffalah LAİSSAOUİ, Ghania GUETTAI, Mourad RAHMANİ

Generalized Fubini transform with two variables

In the present paper, we define the generalized Kwang-Wu Chen matrix. Basic properties of this generalization, such as explicit formulas and generating functions are presented. Moreover, we focus on a new class of generalized Fubini polynomials. Then we discuss their relationship with other polynomials such as Fubini, Bell, Eulerian and Frobenius-Euler polynomials. We have also investigated some basic properties related to the degenerate generalized Fubini polynomials.

Keywords:

Bell polynomials, degenerate generalized Fubini polynomials, Eulerian polynomials, explicit formulas, Fubini transform, Fubini polynomials, Frobenius-Euler polynomials generating functions, probabilistic representation, random variable, Stirling numbers,

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