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.