Oscillating Wandering Domains for Functions with Escaping Singular Values

preprint2020arXivOpen access

Abstract

We construct a transcendental entire f:C→Cf:\mathbb{C}\rightarrow\mathbb{C} such that (1) ff has bounded singular set, (2) ff has a wandering domain, and (3) each singular value of ff escapes to infinity under iteration by ff.

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