Uniformly bounded components of normality

Xiaoling Wang, Wang Zhou

Suppose that $f(z)$ is a transcendental entire function and that the Fatou set $F(f)\ne \varnothing$. Set $$B_1(f):=\sup_{U}\frac{\sup_{z\in U}\log(|z|+3)}{\inf_{w\in U}\log(|w|+3)}$…