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arxiv: math/0310496 · v3 · submitted 2003-10-31 · 🧮 math.CV · math.CA

Nevanlinna functions with real zeros

classification 🧮 math.CV math.CA
keywords realzerosdegreedifferentialequationseveryexistfunctions
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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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