International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 817157, 14 pages
Research Article

Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on

Department of Mathematics, Hannam University, Daejeon 306-791, Republic of Korea

Received 18 June 2012; Accepted 4 October 2012

Academic Editor: A. Bayad

Copyright © 2012 H. Y. Lee et al. 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.


We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.