A New $q$-Analogue of Bernoulli Polynomials Associated with $p$-Adic $q$-Integrals
Lee-Chae Jang
Source: Abstr. Appl. Anal. Volume 2008 (2008), 6 pages.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1234298992
Digital Object Identifier: doi:10.1155/2008/295307
Mathematical Reviews number (MathSciNet):
MR2448391
Zentralblatt MATH identifier:
05352112
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Abstract and Applied Analysis
