On (p,q)-Bernoulli, (p,q)-Euler and (p,q)-genocchi polynomials

Abstract

In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials based on the (p,q)-calculus and investigate their some properties involving addition theorems, difference equations, derivative properties, recurrence relationships, and so on. We also derive (p,q)- analogues of some known formulae belong to usual Bernoulli, Euler and Genocchi polynomials. Moreover, we get (p,q)-extension of Cheon's main result. Furthermore, we discover (p,q)-analogue of the main results given earlier by Srivastava and Pintér. © 2016 American Scientific Publishers All rights reserved.