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arxiv: 1509.03283 · v3 · pith:G652UCORnew · submitted 2015-09-10 · 🧮 math.CV

Entire functions with two radially distributed values

classification 🧮 math.CV
keywords entirefunctionsraysone-pointszerosconstructeddifferentdifferential
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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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