Quadratic inequalities and coefficient estimates for schlicht functions

DOI10.1007/BF00281102zbMath0242.30013OpenAlexW2060222542MaRDI QIDQ2554057

Carl H. FitzGerald

Publication date: 1972

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281102

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (35)

Estimates for coefficients of univalent functions from integral means and Grunsky inequalities ⋮ On meromorphic univalent functions omitting a disc ⋮ Bieberbach's conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality ⋮ Coefficients of Inverses of Meromorphic Univalent Functions ⋮ Univalent functions and regularly measurable maps ⋮ A Further Refinement for Coefficient Estimates of Univalent Functions ⋮ Coefficient estimates of negative powers and inverse coefficients for certain starlike functions ⋮ Estimates for inverse coefficients of univalent functions from integral means ⋮ Unnamed Item ⋮ Use of the area theorem to study the classes \(S(\alpha)\) ⋮ An expansion of the L-kernel over domains in the complex plane ⋮ Generalised Hadamard inequality and its application^† ⋮ The Bieberbach conjecture for restricted initial coefficients ⋮ A problem of Bombieri on univalent functions ⋮ On inequalities between Hermitian and symmetric forms ⋮ The Bieberbach conjecture for univalent functions with small second coefficients ⋮ Integral means, univalent functions and circular symmetrization ⋮ Coefficients of univalent functions ⋮ Extremal problems for meromorphic univalent functions ⋮ Coefficient estimates for univalent polynomials ⋮ COEFFICIENT INEQUALITIES AND YAMASHITA’S CONJECTURE FOR SOME CLASSES OF ANALYTIC FUNCTIONS ⋮ Quadratic inequalities and analytic continuation ⋮ Coefficient estimates for inverses of starlike functions of positive order ⋮ A Refinement for Coefficient Estimates of Univalent Functions ⋮ On fractional Hadamard powers of positive definite matrices ⋮ Nonvanishing univalent functions ⋮ CLASSIFICATION OF UNIVALENT HARMONIC MAPPINGS ON THE UNIT DISK WITH HALF-INTEGER COEFFICIENTS ⋮ On the Bieberbach conjecture for functions with a small second coefficient ⋮ Coefficient estimates for bounded univalent functions ⋮ Coefficient estimates concerning the Bieberbach conjecture ⋮ Conformal Distortion of Boundary Sets ⋮ Univalent functions with large late coefficients ⋮ On the Zalcman conjecture for starlike and typically real functions ⋮ Asymptotic behavior of the solutions of certain problems for the Laplace equation under the deformation of the domain ⋮ Estimates for coefficients of certain analytic functions

Cites Work

• Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen
• The Asymptotic Behaviour of p -Valent Functions
• Analytic Continuation of a Function Defined on a Sequence of Points†
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• Unnamed Item
• Unnamed Item

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