$Q_α$-Normal Families and entire functions

Details $Q_α$-Normal Families and entire functions $Q_α$-Normal Families and entire functions

2010-10-22

arxiv.org/abs/1010.4665v1

Mathematics

Complex Variables

28 pages

Scientific paper

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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