Entire functions with two radially distributed values

Walter Bergweiler, Alexandre Eremenko, Aimo Hinkkanen

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)93-108
Number of pages16
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume165
Issue number1
DOIs
Publication statusPublished - Jul 1 2018

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ASJC Scopus subject areas

  • Mathematics(all)

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