Differential and integral equations for the 2-iterated Appell polynomials

In this article, a set of differential equations of finite order (kth order, k is an element of N) for the 2-iterated Appell polynomials are derived. Particular cases k = 1 and k = 2 are also considered. The integral equations for the Appell and 2-iterated Appell polynomials are established. Further, as an illustration the differential and integral equations for the 2-iterated generalized Bernoulli polynomials are derived. This article is first attempt in the direction of deriving integral equations for the Appell and 2-iterated Appell families and for some members belonging to these families. (C) 2016 Elsevier B.V. All rights reserved.