$Q_{\alpha}$-Normal Families and entire functions

Shai Gul; Shahar Nevo

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arXiv · 1010.4665

$Q_{\alpha}$-Normal Families and entire functions

Shai Gul·Shahar Nevo

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Abstract

For every countable ordinal number $\alpha$ we construct an entire function $f=f_\alpha$ such that the family $\left\{f(nz):n\in\mathbb{N}\right\}$ is exactly $Q_\alpha$-normal in the unit disk.

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Shai Gul, Shahar Nevo. 2010-10-22. $Q_{\alpha}$-Normal Families and entire functions. https://arxiv.org/abs/1010.4665

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