Generalized Fubini transform with two variables

Authors : Madjid SEBAOUİ, Diffalah LAİSSAOUİ, Ghania GUETTAI, Mourad RAHMANİ

Pages : 931-944

Doi:10.15672/hujms.1139692

View : 310 | Download : 400

Publication Date : 2023-08-15

Article Type : Research Paper

Abstract :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