Multivariatep-Adic Fermionicq-Integral onℤpand Related Multiple Zeta-Type Functions

Abstract

In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's typeq-Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem:“are there analytic multiple twisted Carlitz's typeq-zeta functions which interpolate multiple twisted Carlitz's typeq-Euler (Bernoulli) polynomials?”The aim of this paper is to give a partial answer to this problem. Furthermore we derive some interesting identities related to twistedq-extension of Euler polynomials and multiple twisted Carlitz's typeq-Euler polynomials.