Advances in Difference Equations
Volume 2008 (2008), Article ID 738603, 11 pages
Multiple Twisted -Euler Numbers and Polynomials Associated with -Adic -Integrals
Department of Mathematics and Computer Science, Konkuk University, Chungju 380701, South Korea
Received 14 January 2008; Revised 25 February 2008; Accepted 26 February 2008
Academic Editor: Martin Bohner
Copyright © 2008 Lee-Chae Jang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By using -adic -integrals on , we define multiple twisted -Euler numbers and polynomials. We also find Witt's type formula for multiple twisted -Euler numbers and discuss some characterizations of multiple twisted -Euler Zeta functions. In particular, we construct multiple twisted Barnes' type -Euler polynomials and multiple twisted Barnes' type -Euler Zeta functions. Finally, we define multiple twisted Dirichlet's type -Euler numbers and polynomials, and give Witt's type formula for them.