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Nonvanishing derivatives and the MacLane class $\mathcal{A}$
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 ∂Δ.