Finite Basin's Area Fractal via Complex Newton's Method

In this study, we explain that when we applied newton’s method on f (z) = p(z) e^q(z) , thethebasins of roots have finite area when n ≥ 3 , where p(z) = z and q(z) = z^n . using matlab we obtained nice fractals in order to prove the finite basins area when n ≥ 3. the basins for each root in julia set is finite area of n ≥ 3 . if n is even means the attracting petals of the fixed points zero and infinity are symmetric about x and y axes.