Methods and results in the theory of univalent functions
DOI10.1007/BF01680008zbMath0553.30001MaRDI QIDQ802035
Publication date: 1984
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)
Cites Work
- On the existence of certain general extremal metrics
- On univalent functions with real coefficients
- Integral means, univalent functions and circular symmetrization
- The local maximum theorem for the coefficients of univalent functions
- A new set of coefficient inequalities for univalent functions
- On a problem of Gronwall
- Some Theorems on Boundary Distortion
- An Extension of the General Coefficient Theorem
- Über die Subordination analytischer Funktionen.
- On a Coefficient Problem in Univalent Functions
- Convex Hulls of Some Classical Families of Univalent Functions
- Sur un problème d'extrémum de la représentation conforme
- A Method of Variation Within the Family of Simple Functions
- On Values Omitted by Univalent Functions
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