Locally univalent functions with locally univalent derivatives

DOI10.1090/S0002-9947-1971-0286992-9zbMath0225.30017OpenAlexW2064472958MaRDI QIDQ5631376

Douglas Michael Campbell

Publication date: 1972

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-1971-0286992-9

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (10)

The Schwarzian derivatives of harmonic functions and univalence conditions ⋮ Conformal radius: at the interface of traditions ⋮ On the Distribution of Zeros of Entire Functions ⋮ Distortion and covering theorems of pluriharmonic mappings ⋮ A theorem on the regularity of decrease in linearly invariant families of functions ⋮ The Bagemihl theorem for the skeleton of a polydisk and its applications ⋮ Bifurcations and new uniqueness criteria for critical points of hyperbolic derivatives ⋮ An estimate for meromorphic functions with finite spherical surface area satisfying a minimum modulus condition ⋮ A normed linear space containing the schlicht functions ⋮ Sharpness of certain Campbell and Pommerenke estimates

Cites Work

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• Linear-invariante Familien analytischer Funktionen. I
• Linear spaces and linear-invariant families of locally univalent analytic functions
• On Close-to-Convex Analytic Functions
• A Note on Extremal Problems for Certain Classes of Analytic Functions
• Univalent functions with univalent derivatives
• Univalent Functions with Univalent Derivatives. II
• Majorization-subordination theorems for locally univalent functions

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