The conformal radius as a function and its gradient image

DOI10.1007/BF02786700zbMath1096.30013MaRDI QIDQ1775484

Farit G. Avkhadiev, Karl-Joachim Wirths

Publication date: 3 May 2005

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

zbMATH Keywords

convexconformal radiusconcavehyperbolic radius

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (9)

On locally invertible harmonic mappings of plane domains ⋮ On mappings related to the gradient of the conformal radius ⋮ Brezis-Marcus problem and its generalizations ⋮ The convexity of surfaces defined by the conformal radius of a plane domain ⋮ On the coefficients of quasiconformality for convex functions ⋮ Mappings connected with the gradient of conformal radius ⋮ On concave univalent functions ⋮ Conformally invariant inequalities ⋮ About the Gradient of the Conformal Radius

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