On conjectures of Arakelyan and Littlewood

DOI10.1007/BF02796126zbMath0652.30019OpenAlexW2052436181WikidataQ123338675 ScholiaQ123338675MaRDI QIDQ1106976

John L. Lewis, Jang-Mei G. Wu

Publication date: 1988

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02796126

zbMATH Keywords

harmonic measureHausdorff measureNevanlinna deficiency

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (5)

On a conditional theorem of Littlewood for quasiregular entire functions ⋮ A counterexample to the Arakelyan conjecture ⋮ On the spherical derivative of a rational function ⋮ An inequality for algebroid functions and some applications ⋮ On the exceptional set in a conditional theorem of Littlewood

Cites Work

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• A hypothesis of Littlewood and the distribution of values of entire functions
• On a conjecture of Littlewood
• Level sets of univalent functions
• On the Hausdorff dimension of harmonic measure in higher dimension
• A theorem on Nevanlinna deficiencies
• On some Conjectural Inequalities, with Applications to the Theory of Integral Functions

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