The MacLane class and the Eremenko–Lyubich class

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Nonvanishing derivatives and the MacLane class A

Let k ≥ 2 and let f be meromorphic in the unit disc ∆, such that f(z)f (k)(z) 6= 0 for all z ∈ ∆ and the poles of f in ∆ have bounded multiplicities. Then f has asymptotic values on a dense subset of ∂∆. MSC: 30D40, 30D35.

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ژورنال

عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica

سال: 2017

ISSN: 1239-629X,1798-2383

DOI: 10.5186/aasfm.2017.4252