The L. de Branges proof of the I. M. Milin and L. Bieberbach conjectures

DOI10.1007/BF00970862zbMath0624.30024WikidataQ123226077 ScholiaQ123226077MaRDI QIDQ1092199

B. George

Publication date: 1987

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

coefficient estimatesBieberbach conjectureLebedev-Milin inequalities

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, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (7)

Branching processes. II ⋮ Notes on the Duren-Leung conjecture ⋮ Some estimates of the \(n\)th difference quotient of a function analytic in a convex region ⋮ Unnamed Item ⋮ Bounds for higher order divided differences of analytic functions on a disk ⋮ Some properties of functions with nonzero order \(n\) divided difference ⋮ Properties of the total number of particles on degenerate trajectories of branching processes

Cites Work

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• A proof of the Bieberbach conjecture
• The last 100 days of the Bieberbach conjecture
• A proof of the Bieberbach conjecture for the sixth coefficient
• A proof of the Bieberbach conjecture for the fifth coefficient
• A Refinement for Coefficient Estimates of Univalent Functions
• An elementary proof of the Bieberbach conjecture for the sixth coefficient
• Exponentiation of certain quadratic inequalities for Schlicht functions

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