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Abstract and Applied Analysis
Volume 2014, Article ID 537864, 9 pages
Research Article

Dynamics of the Zeros of Analytic Continued -Euler Polynomials

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

Received 14 July 2014; Accepted 17 October 2014; Published 11 November 2014

Academic Editor: Chun-Gang Zhu

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.


In this paper, we study that the -Euler numbers and -Euler polynomials are analytic continued to and . We investigate the new concept of dynamics of the zeros of analytic continued polynomials related to solution of Bernoulli equation. Finally, we observe an interesting phenomenon of “scattering” of the zeros of .