Aharonov invariants and univalent functions

DOI10.1007/BF02761945zbMath0511.30015MaRDI QIDQ1839066

Reuven Harmelin

Publication date: 1982

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

zbMATH Keywords

invariant operatorsBell polynomialsGrunsky inequalitiesquasiconformal extensionscomplementary domains

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (13)

Generalized Grunsky coefficients and inequalities ⋮ Invariant Schwarzian derivatives of higher order ⋮ Estimate for Schwarzian derivative of certain close-to-convex functions ⋮ Aharonov invariants revisited ⋮ A study of the higher-order Schwarzian derivatives of Hirotaka Tamanoi ⋮ Sufficient conditions for the finite-valence of analytic functions and their applications ⋮ On some (integrable) structures in low-dimensional holography ⋮ A Shimorin-type estimate for higher-order Schwarzian derivatives ⋮ Geometric invariants associated with projective structures and univalence criteria ⋮ Sharp bounds on the higher order Schwarzian derivatives for Janowski classes ⋮ Bergman kernel function and univalence criteria ⋮ Higher Schwarzian derivative and Dirichlet Morrey space ⋮ Distortion theorems for higher order Schwarzian derivatives of univalent functions

Cites Work

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• Riemann's mapping theorem for variable metrics
• Generalized Grunsky coefficients and inequalities
• A necessary and sufficient condition for univalence of a meromorphic function
• Explicit Formulas for the Coefficients of Faber Polynomials with Respect to Univalent Functions of the Class &#931
• Invariant Operators and Univalent Functions
• Representation of Functions by Matrices. Application to Faber Polynomials

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