Univalent Functions which Map Onto Regions of Given Transfinite Diameter

DOI10.2307/2001632zbMath0724.30018OpenAlexW4249585337MaRDI QIDQ5758422

Peter Duren, M. M. Schiffer

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001632

zbMATH Keywords

quadratic differentialselliptic integralstransfinite diametersecond coefficient

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Capacity and harmonic measure in the complex plane (30C85) Elliptic functions and integrals (33E05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (4)

Sharpened forms of the Grunsky inequalities ⋮ Geometric function theory. Jenkins' results. The method of modules of curve families ⋮ A Finite Capacity Analogue of the Koebe One-Quarter Theorem ⋮ The fifth coefficient for bounded univalent functions with real coefficients

Cites Work

• Lagrange multipliers in variational methods for univalent functions
• A Method of Variation Within the Family of Simple Functions
• Hadamard's Formula and Variation of Domain-Functions
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