## Journal of Applied Mathematics

### Zeros of Analytic Continued $q$-Euler Polynomials and $q$-Euler Zeta Function

C. S. Ryoo

#### Abstract

We study that the $q$-Euler numbers ${E}_{n,q}$ and $q$-Euler polynomials ${E}_{n,q}(x)$ are analytic continued to ${E}_{q}(s)$ and ${E}_{q}(s,w)$. We investigate the new concept of dynamics of the zeros of analytic continued polynomials. Finally, we observe an interesting phenomenon of ‘‘scattering’’ of the zeros of ${E}_{q}(s,w)$.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 806239, 7 pages.

Dates
First available in Project Euclid: 2 March 2015

Ryoo, C. S. Zeros of Analytic Continued $q$ -Euler Polynomials and $q$ -Euler Zeta Function. J. Appl. Math. 2014 (2014), Article ID 806239, 7 pages. doi:10.1155/2014/806239. https://projecteuclid.org/euclid.jam/1425305919