A Triple Principle (for Curves, Surfaces and Complex Functions) and the Universal Version of Value Distribution Theory

DOI10.1090/conm/699/14100zbMath1400.30008OpenAlexW4237524755MaRDI QIDQ4686874

Grigor A. Barsegian

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.1090/conm/699/14100

zbMATH Keywords

meromorphic functionsquasiconformal functionsAhlfors theory of covering surfacesNevanlinna value distribution theorygeometric deficiencies

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Quasiconformal mappings in the complex plane (30C62) Inequalities in the complex plane (30A10)

Cites Work

• On the theory of covering surfaces.
• A universal value distribution for arbitrary meromorphic functions in a given domain
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