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

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 $E_q(s,w)$.