Difference analogues of the second main theorem for meromorphic functions in several complex variables

DOI10.1002/mana.201200234zbMath1316.32002OpenAlexW1956659359MaRDI QIDQ5417572

Ting-Bin Cao

Publication date: 21 May 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200234

zbMATH Keywords

Nevanlinna theorydifference operator\(q\)-difference operatormeromorphic function of several complex variables

Mathematics Subject Classification ID

Meromorphic functions of several complex variables (32A20) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (9)

Value distribution of \(q\)-differences of meromorphic functions in several complex variables ⋮ Difference analogues of the second main theorem of zero-order meromorphic mappings for slowly moving targets ⋮ Uniqueness theorems of meromorphic functions and their differences in several complex variables ⋮ Transcendental solutions of Fermat-type functional equations in \(\mathbb{C}^n\) ⋮ Nevanlinna theory for Jackson difference operators and entire solutions of \(q\)-difference equations ⋮ Difference uniqueness theorems on meromorphic functions in several variables ⋮ A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables ⋮ Logarithmic difference lemma in several complex variables and partial difference equations ⋮ q-Differences theorems for meromorphic maps of several complex variables intersecting hypersurfaces

Cites Work

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• On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations
• On the extension of the Painlevé property to difference equations
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations
• On the Characteristic of Functions Meromorphic in the Plane and of their Integrals
• On families of meromorphic maps into the complex projective space

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