Multivariate \(p\)-adic fermionic \(q\)-integral on \(\mathbb Z_{p}\) and related multiple zeta-type functions
type: Item
instance of: scholarly article
title: Multivariate \(p\)-adic fermionic \(q\)-integral on \(\mathbb Z_{p}\) and related multiple zeta-type functions
zbMATH Open document ID: 1195.11156
DOI: 10.1155/2008/304539
author: Min-Soo Kim
author: Taekyun Kim
author: Jin-Woo Son
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 5313193
zbMATH Keywords: identities
zbMATH Keywords: twisted \(q\)-extension of Euler polynomials
zbMATH Keywords: multiple twisted Carlitz's type \(q\)-Euler polynomials
Wikidata QID: Q58644321
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2008/304539
OpenAlex ID: W2097674343
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description: scientific article; zbMATH DE number 5313193