On the Dynamics of Rational Maps with Two Free Critical Points

HyeGyong Jang, Norbert Steinmetz

In this paper we discuss the dynamical structure of the rational family $(f_t)$ given by $$f_t(z)=t{z}^m(\frac{1-z}{1+z}{)}^n(m\ge 2,t\ne 0).$$ Each map $f_t$ has two…