A uniqueness theorem of meromorphic maps and a generalization of the Borel's lemma

DOI10.1007/S10114-019-8261-4zbMath1425.32013OpenAlexW2964661234WikidataQ124963887 ScholiaQ124963887MaRDI QIDQ2273248

Lu Jin, Kai Zhou

Publication date: 18 September 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8261-4

zbMATH Keywords

uniqueness theoremsharing of hyperplanesBorel's lemmameromorphic functions on \(\mathbb C^n\)

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Cites Work

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• Some extensions of the four values theorem of Nevanlinna-Gundersen
• On meromorphic maps into the complex projective space
• Some further results on the unique range sets of meromorphic functions
• Uniqueness problem for meromorphic mappings in several complex variables with few hyperplanes
• Unicity of meromorphic mappings sharing few hyperplanes
• UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES
• Geometric conditions for unicity of holomorphic curves
• The uniqueness problem of meromorphic maps into the complex projective space
• Uniqueness problem with truncated multiplicities in value distribution theory
• UNIQUENESS THEOREM OF MEROMORPHIC MAPPINGS INTO ℙ^N (ℂ) SHARING 2N + 3 HYPERPLANES REGARDLESS OF MULTIPLICITIES

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