Uniqueness problem of meromorphic mappings in several complex variables for moving targets

DOI10.2748/tmj/1113247649zbMath1027.32017OpenAlexW2084047456MaRDI QIDQ1872829

Zhen-Han Tu

Publication date: 13 January 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247649

zbMATH Keywords

moving targetsuniqueness theorem for meromorphic functions

Mathematics Subject Classification ID

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

Related Items (16)

A DEGENERACY THEOREM FOR MEROMORPHIC MAPPINGS WITH MOVING TARGETS ⋮ Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets ⋮ Big Picard's theorems for holomorphic mappings of several complex variables into \(\mathbb{P}^{N}(C)\) with moving hyperplanes ⋮ Uniqueness theorems for meromorphic mappings in several complex variables into \(P^N(\mathbb C)\) with two families of moving targets ⋮ A finiteness theorem for meromorphic mappings sharing few moving hyperplanes ⋮ Algebraic dependences of three meromorphic mappings sharing few moving hyperplanes ⋮ Second main theorem and uniqueness theorem with moving targets on parabolic manifolds ⋮ Normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\) for moving targets ⋮ UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES FOR MOVING TARGETS ⋮ Multiple values and unicity problem of meromorphic mappings sharing different families of moving hyperplanes ⋮ A unicity theorem for moving targets counting multiplicities ⋮ A uniqueness theorem for meromorphic mappings without counting multiplicities ⋮ Unicity of meromorphic mappings sharing few moving hyperplanes ⋮ Two meromorphic mappings having the same inverse images of moving hyperplanes ⋮ Unicity theorems with truncated multiplicities of meromorphic mappings in several complex variables for few fixed targets ⋮ Uniqueness Problem for Meromorphic Mappings with Truncated Multiplicities and Moving Targets

Cites Work

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• The second main theorem for moving targets
• Uniqueness problem without multiplicities in value distribution theory
• Another proof of the defect relation for moving targets
• The lemma of the logarithmic derivative in several complex variables
• An extension of unicity theorem for meromorphic functions
• Geometric conditions for unicity of holomorphic curves
• Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes.
• The uniqueness problem of meromorphic maps into the complex projective space
• Uniqueness problem with truncated multiplicities in value distribution theory
• Uniqueness of entire functions sharing four small functions
• Meromorphic Functions That Share Four Values

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