Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves

DOI10.1080/17476933.2019.1588260zbMath1436.30031OpenAlexW2946514422WikidataQ127832201 ScholiaQ127832201MaRDI QIDQ4960380

Pei-Chu Hu, Nguyen Van Thin

Publication date: 15 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1588260

zbMATH Keywords

normal familiesholomorphic mappings with values in \(\mathbb{P}^n(\mathbb{C})\)

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Value distribution theory in higher dimensions (32H30)

Related Items (2)

On Lappan's five-valued theorem for \(\phi \)-normal functions of several variables ⋮ A normality criterion for families of holomorphic mappings under a condition of uniform boundedness of their tangent mappings

Cites Work

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• Properties of meromorphic \(\varphi \)-normal functions
• Boundary behaviour and normal meromorphic functions
• A criterion for normality in \(\mathbb{C}^ n\)
• A criterion for a meromorphic function to be normal
• Second main theorems for meromorphic mappings with moving hypersurfaces and a uniqueness problem
• Results on meromorphic ϕ-normal functions
• Higher dimensional generalizations of some classical theorems on normal meromorphic functions
• Normality criteria for families of holomorphic mappings of several complex variables into 𝑃^{𝑁}(𝐶)
• Families of Normal Maps in Several Complex Variables and Hyperbolicity of Complex Spaces
• Normal families of meromorphic mappings of several complex variables for moving hypersurfaces in a complex projective space
• Problems in Complex Function Theory

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