Analytic Continuation of Euler Polynomials and the Euler Zeta Function

We study that the Euler numbers En and Euler polynomials Enz are analytically continued to Es and E(s,w). 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 E(s,w).

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Bibliographic Details
Main Author: C. S. Ryoo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/568129
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Summary:We study that the Euler numbers En and Euler polynomials Enz are analytically continued to Es and E(s,w). 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 E(s,w).
ISSN:1026-0226
1607-887X