On the Symmetric Properties of Higher-Order Twisted q-Euler Numbers and Polynomials

Abstract

In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted q-Euler numbers and polynomials. The purpose of this paper is to establish various identities concerning higher-order twisted q-Euler numbers and polynomials by the properties of p-adic invariant integral on ℤp. Especially, if q=1, we derive the result of Kim et al. (2009).