Abstract and Applied Analysis
Volume 2008 (2008), Article ID 295307, 6 pages
doi:10.1155/2008/295307

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

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.