Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions

In 2008, Jang et al. 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 interpola...

Full description

Saved in:
Bibliographic Details
Main Authors: Min-Soo Kim, Taekyun Kim, Jin-Woo Son
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2008/304539
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In 2008, Jang et al. 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.
ISSN:1085-3375
1687-0409