Iterations of Meromorphic Functions involving Sine

Gaurav Kumar, M. Guru Prem Prasaad

In this article, the dynamics of a one-parameter family of functions $f_{\lambda }(z)=\frac{\sin z}{z^2+\lambda },$ $\lambda >0$, are studied. It shows the existence of parameters $0<{\lambda }_1<{\lambda }_2$…