On the Fatou set of monic polynomials

On Some Properties of Monic Polynomials

“…For a survey of the main properties of the Fatou Set we refer the reader to the excellent paper of Brolin [2]. Bhattacharyya and Arumaraj [1] considered the question of bounds of the diameter of the set F(f) where f(z) is a monic polynomial. They conjectured that if /(z) is a monic polynomial of degree > 2, then d(F(f)) 2: 2.…”

“…We use the construction employed by Bhattacharyya and Arumaraj [1] for F(f). We choose R > 0 such that 1/(z)I> Rfor lzl>R. This proves the theorem.…”