Qα-normal families and entire functions

Shai Gul, Shahar Nevo

Research output: Contribution to journalArticlepeer-review


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

Original languageEnglish
Pages (from-to)597-651
Number of pages55
JournalComputational Methods and Function Theory
Issue number2
StatePublished - 2012

Bibliographical note

Funding Information:
Received January 10, 2010, in revised versions April 8, 2011, March 28, 2012, and April 15, 2012. Published online September 10, 2012. The authors received support from the Israel Science Foundation, Grant No. 395/07. This research is part of the European Science Networking Programme HCAA..


  • Ordinal number
  • Qα-normal family
  • Transfinite induction


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