New family of special numbers associated with finite operator

Abstract

Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities. Among others, these polynomials are a generalization of the Fubini numbers and polynomials.

Keywords

• generating function
• operators
• fubini numbers and polynomials