Variation of diametrically symmetric or elliptically schlicht conformal mappings

DOI10.1007/BF02893085zbMath1071.30011MaRDI QIDQ1411301

Reiner Kühnau

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items (2)

Elliptic capacity and its distortion under conformal mapping ⋮ HOLOMORPHIC FUNCTIONS WITH IMAGE OF GIVEN LOGARITHMIC OR ELLIPTIC CAPACITY

Cites Work

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• A variational method for functions schlicht in an annulus
• Moduli of families of curves and quadratic differentials
• Stability of conformal distortion
• Elliptic capacity and its distortion under conformal mapping
• Variational methods for Bieberbach-Eilenberg functions and for pairs
• A Method of Variation Within the Family of Simple Functions

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