A fundamental theorem for algebroid function in \(k\)-punctured complex plane

DOI10.3934/math.2021305zbMath1484.30045OpenAlexW3134346741MaRDI QIDQ2133257

Yuxian Chen, Hong-Yan Xu, Jie Liu, Zhao-Jun Wu

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021305

zbMATH Keywords

algebroid functionssecond fundamental theorem\(k\)-punctured plane

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

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• Several uniqueness theorems of algebroid functions on annuli
• On the sharing values of algebroid functions and their derivatives
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• On the multiple values and uniqueness of meromorphic functions on annuli
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• Logarithmic derivatives in annuli
• On the Nevanlinna theory for meromorphic functions on annuli. I.
• On meromorphic functions for sharing two sets and three sets in \(m\)-punctured complex plane
• Meromorphic functions in \(m\)-punctured complex planes.
• On the existence of \(T\)-direction of algebroid functions: a problem of J.H. Zheng
• On the Nevanlinna theory for meromorphic functions on annuli. II.
• The growth and singular direction of algebroid functions
• ON T DIRECTION OF ALGEBROID FUNCTION DEALING WITH MULTIPLE VALUES
• Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes.
• On the growth of algebroid solutions of algebraic differential equations.

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