Entire functions with separated zeros and $1$-points

Walter Bergweiler; Alexandre Eremenko

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arXiv · 2002.00376

Entire functions with separated zeros and $1$-points

Walter Bergweiler·Alexandre Eremenko

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Abstract

We consider transcendental entire functions of finite order for which the zeros and $1$-points are in disjoint sectors. Under suitable hypotheses on the sizes of these sectors we show that such functions must have a specific form, or that such functions do not exist at all.

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Walter Bergweiler, Alexandre Eremenko. 2020-02-02. Entire functions with separated zeros and $1$-points. https://arxiv.org/abs/2002.00376

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