The size of Wiman–Valiron discs for subharmonic functions of a certain type

DOI10.1080/17476933.2015.1095186zbMath1343.31001OpenAlexW2310647366MaRDI QIDQ2801980

Eleanor F. Clifford, Peter C. Fenton

Publication date: 22 April 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1095186

zbMATH Keywords

subharmonic functionsmeromorphic functionsWiman-Valiron discsmaximum points

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Meromorphic functions of one complex variable (general theory) (30D30)

Cites Work

• Dynamics of meromorphic functions with direct or logarithmic singularities
• Meromorphic solutions of higher order Briot–Bouquet differential equations
• On a hypothetical theorem of pólya
• On Equilibrium Points of Logarithmic and Newtonian Potentials
• Proof of a Conjecture of Hayman Concerning f and f ″
• WIMAN'S METHOD AND THE ‘FLAT REGIONS’ OF INTEGRAL FUNCTIONS

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