Analytic Continuation of Euler Polynomials and the Euler Zeta Function

被引：5

作者：

Ryoo, C. S. ^{[1
]}

机构：

[1] Hannam Univ, Dept Math, Taejon 306791, South Korea

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷

关键词：

Q)-BERNOULLI NUMBERS; TWISTED (H; EXTENSION; ROOTS;

D O I：

10.1155/2014/568129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页数：6

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