Entire functions with two radially distributed values

Walter Bergweiler; Alexandre Eremenko; Aimo Hinkkanen

doi:10.1017/S0305004117000305

Entire functions with two radially distributed values

Walter Bergweiler, Alexandre Eremenko, Aimo Hinkkanen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study entire functions whose zeros and one-points lie on distinct finite systems of rays. General restrictions on these rays are obtained. Non-trivial examples of entire functions with zeros and one-points on different rays are constructed, using the Stokes phenomenon for second order linear differential equations.

Original language	English (US)
Pages (from-to)	93-108
Number of pages	16
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	165
Issue number	1
DOIs	https://doi.org/10.1017/S0305004117000305
State	Published - Jul 1 2018

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General Mathematics

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10.1017/S0305004117000305

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abstract = "We study entire functions whose zeros and one-points lie on distinct finite systems of rays. General restrictions on these rays are obtained. Non-trivial examples of entire functions with zeros and one-points on different rays are constructed, using the Stokes phenomenon for second order linear differential equations.",

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AU - Hinkkanen, Aimo

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Entire functions with two radially distributed values

Abstract

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