## Abstract and Applied Analysis

### Multivariate $p$-Adic Fermionic $q$-Integral on ${\mathbb{Z}}_{p}$ and Related Multiple Zeta-Type Functions

#### Abstract

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 $p$-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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 304539, 13 pages.

Dates
First available in Project Euclid: 9 September 2008

https://projecteuclid.org/euclid.aaa/1220969175

Digital Object Identifier
doi:10.1155/2008/304539

Mathematical Reviews number (MathSciNet)
MR2411042

Zentralblatt MATH identifier
1195.11156

#### Citation

Kim, Min-Soo; Kim, Taekyun; Son, Jin-Woo. Multivariate $p$ -Adic Fermionic $q$ -Integral on ${\mathbb{Z}}_{p}$ and Related Multiple Zeta-Type Functions. Abstr. Appl. Anal. 2008 (2008), Article ID 304539, 13 pages. doi:10.1155/2008/304539. https://projecteuclid.org/euclid.aaa/1220969175

#### References

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