On Multiple Interpolation Functions of the Nörlund-Type q-Euler Polynomials

Abstract

In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund-type $q$-Euler polynomials and their interpolation functions. In this paper, we give another definitionof the multiple Hurwitz type $q$-zeta function. This function interpolates Nörlund-type $q$-Euler polynomials at negative integers. We also give some identities related to these polynomialsand functions. Furthermore, we give some remarks about approximations of Bernoulli andEuler polynomials.