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Real entire functions with real zeros and a conjecture of Wiman

Walter Bergweiler·A. Eremenko·J. K. Langley
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Abstract

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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Walter Bergweiler, A. Eremenko, J. K. Langley. 2002-07-25. Real entire functions with real zeros and a conjecture of Wiman. https://doi.org/10.1007/s00039-003-0437-4

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