A counterexample to the Arakelyan conjecture

DOI10.1090/S0273-0979-1992-00299-9zbMath0758.30027arXivmath/9207214WikidataQ123338690 ScholiaQ123338690MaRDI QIDQ4016747

Alexandre Eremenko

Publication date: 16 January 1993

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9207214

zbMATH Keywords

entire functionsubharmonic functionsfinite orderNevanlinna deficiencyArakelyan-conjecture

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• The inverse problem of value-distribution theory for meromorphic functions of finite order
• On conjectures of Arakelyan and Littlewood
• A theorem on Nevanlinna deficiencies
• Lower Estimate in Littlewood's Conjecture on the Mean Spherical Derivative of a Polynomial and Iteration Theory
• The Size of the Set on Which a Meromorphic Function is Large

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