ON HIGHER ORDER (p, q)-FROBENIUS-EULER POLYNOMIALS

Abstract

The main purpose of this paper is to introduce (p, q)-Frobenius-Euler numbers and polynomials, and to investigate their some identities and properties including addition property, difference equation, derivative property, recurrence relationships. We also obtain integral representation, explicit formulae and relations for these polynomials and numbers. Furthermore, we consider some relationships for (p, q)-Frobenius-Euler polynomials of order alpha associated with (p, q)-Bernoulli polynomials, (p, q)-Euler polynomials and (p, q)-Genocchi polynomials.