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Nevanlinna functions with real zeros

Alexandre Eremenko·Sergei Merenkov
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Abstract

We show that for every non-negative integer d, there exist differential equations w''+Pw=0, where P is a polynomial of degree d, such that some non-trivial solution w has all zeros real.

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Alexandre Eremenko, Sergei Merenkov. 2005-01-25. Nevanlinna functions with real zeros. https://arxiv.org/abs/math/0310496

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