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arxiv: math/0207229 · v1 · submitted 2002-07-25 · 🧮 math.CV · math.CA

Real entire functions with real zeros and a conjecture of Wiman

classification 🧮 math.CV math.CA
keywords realzerosconjectureentirewimanbelongsclassclosure
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If f is a real entire function and ff" has only real zeros then f belongs to the Laguerre-Polya class, the closure of the set of real polynomials with real zeros. This result completes a long line of development originating from a conjecture of Wiman in 1914.

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