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arXiv:1010.4665 [math.CV]AbstractReferencesReviewsResources

$Q_α$-Normal Families and entire functions

Shai Gul, Shahar Nevo

Published 2010-10-22Version 1

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.

Comments: 28 pages
Categories: math.CV, math.LO
Subjects: 30D20, 30D30, 30D45, 03E10
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