Rapidly growing entire functions with three singular values

zbMath1186.30029arXiv1305.4214MaRDI QIDQ733327

Sergei Merenkov

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4214

zbMATH Keywords

Nevanlinna theorycritical valueasymptotic valuegrowth behavior

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Special classes of entire functions of one complex variable and growth estimates (30D15) Classification theory of Riemann surfaces (30F20)

Related Items (3)

Entire functions arising from trees ⋮ Regularity of growth and the class 𝒮 ⋮ Constructing entire functions by quasiconformal folding

Cites Work

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• Transcendental meromorphic functions with three singular values
• Critical values of slowly growing meromorphic functions
• Random walk on the Speiser graph of a Riemann surface

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