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arXiv · 1010.4665

$Q_α$-Normal Families and entire functions

Shai Gul·Shahar Nevo
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Abstract

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

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Shai Gul, Shahar Nevo. 2010-10-22. $Q_α$-Normal Families and entire functions. https://arxiv.org/abs/1010.4665

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