NONVANISHING DERIVATIVES AND THE MACLANE CLASS A

摘要

Let k ≥ 2 and let f be meromorphic in the unit disc Δ, such that f (z) f~((k)) (z)≠0 for all z ∈ Δ and the poles of f in Δ have bounded multiplicities. Then f has asymptotic values on a dense subset of θΔ.