Nevanlinna theory of meromorphic functions on annuli

DOI10.1007/S11425-010-0037-3zbMath1193.30044OpenAlexW2007706351MaRDI QIDQ973745

Zhuan Ye, Mark E. Lund

Publication date: 26 May 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0037-3

zbMATH Keywords

meromorphic functionsNevanlinna theory in annuliValiron's decomposition lemma

Mathematics Subject Classification ID

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

Related Items (18)

On fundamental theorems for holomorphic curves on an annulus intersecting hypersurfaces ⋮ Nevanlinna theory for holomophic curves from annuli into semi-abelian varieties ⋮ Nevanlinna's five values theorem on annuli ⋮ A fundamental theorem for algebroid function in \(k\)-punctured complex plane ⋮ On meromorphic functions for sharing two sets and three sets in \(m\)-punctured complex plane ⋮ Two meromorphic functions on annuli sharing some pairs of small functions or values ⋮ Meromorphic functions on annuli sharing finite sets with truncated multiplicity ⋮ Growth Properties of Solutions to Higher Order Complex Linear Differential Equations with Analytic Coefficients in the Annulus ⋮ Two meromorphic functions on annuli sharing some pairs of values ⋮ Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity ⋮ Meromorphic functions having the same inverse images of four values on annuli ⋮ Uniqueness theorem for holomorphic mappings on annuli sharing few hyperplanes ⋮ Function theory on annuli ⋮ Results on algebroid functions in \(k\)-punctured complex plane ⋮ The fundamental inequality for algebroid functions on annuli concerning small algebroid functions ⋮ Meromorphic functions on annuli sharing few small functions with truncated multiplicities ⋮ The shared set and uniqueness of meromorphic functions on annuli ⋮ Uniqueness theorem of meromorphic function concerning small functions on annuli

Cites Work

• Logarithmic derivatives in annuli
• On the Nevanlinna theory for meromorphic functions on annuli. I.
• Meromorphic functions in \(m\)-punctured complex planes.
• On the Nevanlinna theory for meromorphic functions on annuli. II.
• Growth and Values of Functions Regular in an Angle
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