Further generalizations of the Grunsky inequalities

DOI10.1007/BF02795509zbMath0212.42303MaRDI QIDQ2544669

M. M. Schiffer, R. N. Pederson

Publication date: 1970

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) Power series (including lacunary series) in one complex variable (30B10) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items

Coefficient problems and generalized Grunsky inequalities for schlicht functions with quasiconformal extensions ⋮ Some corollaries of Grunsky's inequality and the fundamental theorem of areas ⋮ A new set of coefficient inequalities for univalent functions ⋮ A proof of the Bieberbach conjecture for the fifth coefficient

Cites Work

• A new proof of the Bieberbach conjecture for the fourth coefficient
• Some area theorems and a special coefficient theorem
• An extension of Grunsky's inequalities bearing on the Bieberbach conjecture
• On the local maximum property of the Koebe function
• The local maximum theorem for the coefficients of univalent functions
• Coefficient inequalities for Bieberbach-Eilenberg functions
• On unitary properties of Grunsky's matrix
• Inequalities for the coefficients of univalent functions
• A proof of the Bieberbach conjecture for the sixth coefficient
• Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen
• On Univalent Mappings by Solutions of Linear Elliptic Partial Differential Equations
• Inequalities for the fifth coefficient
• On the Bieberbach conjecture for the sixth coefficient
• On the non-vanishing of the Jacobian in certain one-to-one mappings
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