The reciprocal of an entire function of infinite order and the distribution of the zeros of its second derivative
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- by John Rossi PDF
- Trans. Amer. Math. Soc. 270 (1982), 667-683 Request permission
Abstract:
Let $f$ be a real entire function of infinite order whose zeros together with those of $f’$ are all real. It is proved that $(1/f)''$ has an infinity of nonreal zeros. The location of the zeros of $f''$ and $(1/f)''$ is also investigated. The result complements a finite order result of Hellerstein and Williamson.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 270 (1982), 667-683
- MSC: Primary 30D35
- DOI: https://doi.org/10.1090/S0002-9947-1982-0645337-X
- MathSciNet review: 645337