Bounded Fatou Components of Transcendental Entire Functions with Order Less than 1/2

摘要

Let f be a transcendental entire function with order ρ 1 such that, for all r > r0 and any small ε > 0,M(rσ, f) ≥ M(r, f)σ+ε,then every component of the Fatou set F(f) is bounded.