Multivariate $p$-Adic Fermionic $q$-Integral on ${\mathbb{Z}}_{p}$ and Related Multiple Zeta-Type Functions
Min-Soo Kim, Taekyun Kim, and Jin-Woo Son
Source: Abstr. Appl. Anal. Volume 2008
(2008), Article ID
304539, 13 pages.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1220969175
Digital Object Identifier: doi:10.1155/2008/304539
Zentralblatt MATH identifier: 05313193
Mathematical Reviews number (MathSciNet): MR2411042
References
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Abstract and Applied Analysis
