Difference equations of q-Appell polynomials

Abstract

In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known classical (q = 1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for q-Hermite polynomials, as special cases of q-Appell polynomials. (C) 2014 Elsevier Inc. All rights reserved.