A new version of circular symmetrization with applications top-valent functions

DOI10.1070/SM2012v203n07ABEH004251zbMath1264.30014OpenAlexW2076880199MaRDI QIDQ4650140

V. N. Dubinin

Publication date: 23 November 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2012v203n07abeh004251

zbMATH Keywords

Riemann surfaceChebyshev polynomialcircular symmetrization\(p\)-valent functioncapacity of a condenser

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Capacity and harmonic measure in the complex plane (30C85) General theory of univalent and multivalent functions of one complex variable (30C55) Inequalities in the complex plane (30A10)

Related Items (10)

Inequalities for the moduli of circumferentially mean \(p\)-valent functions ⋮ Unnamed Item ⋮ Markov-type inequality and a lower bound for the moduli of critical values of polynomials ⋮ The Grötzsch and Teichmüller extremal problems on a Riemann surface ⋮ On one extremal problem for complex polynomials with constraints on critical values ⋮ Lemniscate zone and distortion theorems for multivalent functions. II ⋮ Lemniscate zone and distortion theorems for multivalent functions ⋮ On the Jenkins circles covering theorem for functions holomorphic in a disk ⋮ Distortion theorems for circumferentially mean \(p\)-valent functions ⋮ Covering theorem for \(p\)-valent functions with Montel's normalization

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