Advances in Difference Equations
Volume 2008 (2008), Article ID 738603, 11 pages
doi:10.1155/2008/738603
Multiple Twisted q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
Lee-Chae Jang
Department of Mathematics and Computer Science, Konkuk University, Chungju 380701, South Korea
Abstract
By using p-adic q-integrals on ℤp, we define multiple twisted q-Euler numbers and polynomials. We also find Witt's type formula for multiple twisted q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta functions. In particular, we construct multiple twisted Barnes' type q-Euler polynomials and multiple twisted Barnes' type q-Euler Zeta functions. Finally, we define multiple twisted Dirichlet's type q-Euler numbers and polynomials, and give Witt's type formula for them.