TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS

Abstract

. Some new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomilas were intro- duced recently by Kilar and Simsek ([5]) and we study the two variable Fubini polynomials as Appell polynomials whose coefficients are the Fu- bini polynomials. In this paper, we would like to utilize umbral calculus in order to study two variable higher-order Fubini polynomials. We derive some of their properties, explicit expressions and recurrence relations. In addition, we express the two variable higher-order Fubini polynomials in terms of some families of special polynomials and vice versa.