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Ahlfors Functions on Denjoy Domains

Ahlfors Functions on Denjoy Domains

Let $\Delta$ be the open unit disc. We give a characterization of a set that is the complement in $\Delta$ of the image of the Ahlfors function for some maximal Denjoy domain and $\infty$. As a corollary, we show by an example that there exists such a set with positive …