Abstract
We deduce the Ahlfors five islands theorem from a corresponding result of Nevanlinna concerning perfectly branched values, a rescaling lemma for non-normal families and an existence theorem for quasiconformal mappings. We also give a proof of Nevanlinna’s result based on the rescaling lemma and a version of Schwarz’s lemma.
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Bergweiler, W. A new proof of the Ahlfors five islands theorem. J. Anal. Math. 76, 337–347 (1998). https://doi.org/10.1007/BF02786941
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DOI: https://doi.org/10.1007/BF02786941