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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 568129, 6 pages
Research Article

Analytic Continuation of Euler Polynomials and the Euler Zeta Function

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

Received 10 January 2014; Accepted 10 March 2014; Published 3 April 2014

Academic Editor: Binggen Zhang

Copyright © 2014 C. S. Ryoo. 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 study that the Euler numbers and Euler polynomials are analytically continued to and . We investigate the new concept of dynamics of the zeros of analytica continued polynomials. Finally, we observe an interesting phenomenon of “scattering” of the zeros of .