\(Q_{\alpha }\)-normal families and entire functions

DOI10.1007/BF03321847zbMath1346.30014arXiv1010.4665MaRDI QIDQ1930686

Shai Gul, Shahar Nevo

Publication date: 11 January 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4665

zbMATH Keywords

transfinite inductionordinal number\(Q_{\alpha }\)-normal family

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Entire functions of one complex variable (general theory) (30D20) Meromorphic functions of one complex variable (general theory) (30D30) Ordinal and cardinal numbers (03E10)

Cites Work

• Unnamed Item
• Completely irreducible sequences of meromorphic functions
• Transfinite extension to \(Q_m\)-normality theory
• Normality properties of the family \(\{f(nz):n\in\mathbb{N}\}\)
• APPLICATONS OF ZALCMAN'S LEMMA TO Qm-NORMAL FAMILIES
• A Heuristic Principle in Complex Function Theory
• GENERATING QUASINORMAL FAMILIES OF ARBITRARY DEGREE AND ORDER

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