## Abstract and Applied Analysis

### A New $q$-Analogue of Bernoulli Polynomials Associated with $p$-Adic $q$-Integrals

Lee-Chae Jang

#### Abstract

We will study a new $q$-analogue of Bernoulli polynomials associated with $p$-adic $q$-integrals. Furthermore, we examine the Hurwitz-type $q$-zeta functions, replacing $p$-adic rational integers $x$ with a $q$-analogue ${[x]}_{q}$ for a $p$-adic number $q$ with ${|q-1|}_{p}<1$, which interpolate $q$-analogue of Bernoulli polynomials.

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 295307, 6 pages.

Dates
First available in Project Euclid: 10 February 2009

https://projecteuclid.org/euclid.aaa/1234298992

Digital Object Identifier
doi:10.1155/2008/295307

Mathematical Reviews number (MathSciNet)
MR2448391

Zentralblatt MATH identifier
1217.11116

#### Citation

Jang, Lee-Chae. A New $q$ -Analogue of Bernoulli Polynomials Associated with $p$ -Adic $q$ -Integrals. Abstr. Appl. Anal. 2008 (2008), Article ID 295307, 6 pages. doi:10.1155/2008/295307. https://projecteuclid.org/euclid.aaa/1234298992

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