Zeros of the successive derivatives of Hadamard gap series
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- by Robert M. Gethner
- Trans. Amer. Math. Soc. 339 (1993), 799-807
- DOI: https://doi.org/10.1090/S0002-9947-1993-1123453-3
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Abstract:
A complex number $z$ is in the final set of an analytic function $f$, as defined by Pólya, if every neighborhood of $z$ contains zeros of infinitely many ${f^{(n)}}$. If $f$ is a Hadamard gap series, then the part of the final set in the open disk of convergence is the origin along with a union of concentric circles.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 339 (1993), 799-807
- MSC: Primary 30D35; Secondary 30B10
- DOI: https://doi.org/10.1090/S0002-9947-1993-1123453-3
- MathSciNet review: 1123453