Q_α-Normal Families and entire functions

2010/10/22 by Shai Gul, Gul, Shai, Shahar Nevo +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #math.LO #msc:03E10 #msc:30D20 #msc:30D30 #msc:30D45

paper · pdf · doi:10.48550/arxiv.1010.4665

28 pages

arxiv created 2010/10/22 · arxiv updated 2010/10/25

Abstract

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

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