Meromorphic functions with three radially distributed values

Walter Bergweiler; Alexandre Eremenko

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arXiv · 2011.05899

Meromorphic functions with three radially distributed values

Walter Bergweiler·Alexandre Eremenko

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Abstract

We consider transcendental meromorphic functions for which the zeros, 1-points and poles are distributed on three distinct rays. We show that such functions exist if and only if the rays are equally spaced. We also obtain a normal family analogue of this result.

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Walter Bergweiler, Alexandre Eremenko. 2020-11-11. Meromorphic functions with three radially distributed values. https://arxiv.org/abs/2011.05899

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