Analytic Continuation of Euler Polynomials and the Euler Zeta Function. (3rd April 2014)

• Record Type: Journal Article
• Authors: Ryoo, C. S.
• Other Names: Zhang Binggen Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2014(2014)
• Publication Date: 2014-04-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2014/568129
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We study that the Euler numbers E n and Euler polynomials E n z are analytically continued to E s 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 ) .