Generalized Fubini transform with two variables

TL;DR

This paper introduces a generalized Kwang-Wu Chen matrix and explores a new class of generalized Fubini polynomials, analyzing their properties and relationships with other well-known polynomials.

Contribution

It presents the explicit formulas, generating functions, and properties of the generalized Kwang-Wu Chen matrix and the associated generalized Fubini polynomials, including degenerate cases.

Findings

Explicit formulas and generating functions derived

Relationships established with Fubini, Bell, Eulerian, and Frobenius-Euler polynomials

Properties of degenerate generalized Fubini polynomials investigated

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.