A New Class of Hermite-Based Higher Order Central Fubini Polynomials

Abstract

In this paper, we introduce a new class of Hermite-based higher-order central Fubini polynomials and numbers. We obtain some properties, identities, and recurrence relationships by using the generating function of these polynomials. We establish summation formulas of these polynomials by summation techniques series. Also, we derive symmetric identities of three-variable Hermite-based higher-order central Fubini polynomials by using generating functions.