Logarithmic derivatives in annuli

DOI10.1016/j.jmaa.2009.03.025zbMath1176.30080OpenAlexW2068360954MaRDI QIDQ1025022

Mark E. Lund, Zhuan Ye

Publication date: 18 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.025

zbMATH Keywords

Nevanlinna theorymeromorphic functionsannulilogarithmic derivative

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'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 ⋮ Linear differential equations with analytic coefficients having the same order near a singular point ⋮ The possible orders of growth of solutions to certain linear differential equations near a singular point ⋮ Growth Properties of Solutions to Higher Order Complex Linear Differential Equations with Analytic Coefficients in the Annulus ⋮ Some new results on fixed points of meromorphic functions defined in annuli ⋮ Growth of Solutions of a Class of Linear Differential Equations Near a Singular Point ⋮ Unnamed Item ⋮ Function theory on annuli ⋮ Unnamed Item ⋮ Nevanlinna theory of meromorphic functions on annuli ⋮ Results on algebroid functions in \(k\)-punctured complex plane ⋮ Estimates on partial derivatives and logarithmic partial derivatives of holomorphic functions on polydiscs and beyond ⋮ The fundamental inequality for algebroid functions on annuli concerning small algebroid functions ⋮ The shared set and uniqueness of meromorphic functions on annuli ⋮ Growth of solutions to linear differential equations with analytic coefficients in a punctured disc

Cites Work

• The logarithmic derivative of a meromorphic function
• On the Nevanlinna theory for meromorphic functions on annuli. I.
• On Nevanlinna's second main theorem in projective space
• Meromorphic functions in \(m\)-punctured complex planes.
• On the Nevanlinna theory for meromorphic functions on annuli. II.
• GENERALIZED LOGARITHMIC DERIVATIVE ESTIMATES OF GOL'DBERG–GRINSHTEIN TYPE
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• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item

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