Multivariate \(p\)-adic fermionic \(q\)-integral on \(\mathbb Z_{p}\) and related multiple zeta-type functions
Summary: In [Abstr. Appl. Anal. 2008, Article ID 498173, 7 p. (2008; Zbl 1195.11029)], \textit{L.-C. Jang} and \textit{C.-S. Ryoo} constructed generating functions of the multiple twisted Carlitz's type \(q\)-Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem: ``are there analytic multiple twisted Carlitz's type \(q\)-zeta functions which interpolate multiple twisted Carlitz's type \(q\)-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 twisted \(q\)-extension of Euler polynomials and multiple twisted Carlitz's type \(q\)-Euler polynomials.
twisted \(q\)-extension of Euler polynomials
multiple twisted Carlitz's type \(q\)-Euler polynomials
scientific article; zbMATH DE number 5313193
scientific article