Families of rational maps and convergence basins of Newton's method (Q1201500)

The authors solve the problem when for a rational function \(f\) there exists a polynomial \(p\) for which the Newton map \(N_ p(z)=z-p(z)/p'(z)\) is conjugate to \(f\) be giving a necessary and sufficient condition. Further, a correction to a statement from a preprint of another author is given, concerning an estimate for the basins for Newton maps.