On normal functions in several complex variables

DOI10.7153/JCA-2020-16-06zbMath1474.32040OpenAlexW3039693360MaRDI QIDQ5854309

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Publication date: 16 March 2021

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-2020-16-06

zbMATH Keywords

normal functionsseveral complex variablesspherical derivative\( \varphi \)-normal functions

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Value distribution theory in higher dimensions (32H30)

Cites Work

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• On Lappan's five-point theorem
• Properties of meromorphic \(\varphi \)-normal functions
• Boundary behaviour and normal meromorphic functions
• Normal functions of many complex variables
• A criterion for a meromorphic function to be normal
• Normal families
• Two results on \(\varphi\)-normal functions
• On the five-point theorems due to Lappan
• The spherical derivative and normal functions
• Zalcman's lemma in Cⁿ
• Normal functions and shared sets

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