An Identity of the Twisted (h, q)-Euler Polynomials Associated with the p-adic q-Integrals on Zp

Throughout this paper, we always make use of the following notations: C denotes the set of complex numbers, Zp denotes the ring of p-adic rational integers, Qp denotes the field of p-adic rational numbers, and Cp denotes the completion of algebraic closure of Qp. Let νp be the normalized exponential valuation of Cp with |p|p = p−νp(p) = p−1. When one talks of q-extension, q is considered in many ways such as an indeterminate, a complex number q ∈ C, or p-adic number q ∈ Cp. If q ∈ C one normally assume that |q| < 1. If q ∈ Cp, we normally assume that |q−1|p < p− 1 p−1 so that q = exp(x log q) for |x|p ≤ 1. Throughout this paper we use the notation: