A proof of the Pólya-Wiman conjecture
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- by Young-One Kim PDF
- Proc. Amer. Math. Soc. 109 (1990), 1045-1052 Request permission
Abstract:
Let $f(z) = {e^{ - \alpha {z^2}}}g(z)$ where $\alpha \geq 0$ and $g$ is a real entire function of genus at most 1. It is shown that if $f$ has only a finite number of nonreal zeros, then its derivatives, from a certain one onward, have only real zeros.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 1045-1052
- MSC: Primary 30D20; Secondary 30D35
- DOI: https://doi.org/10.1090/S0002-9939-1990-1013971-3
- MathSciNet review: 1013971