Loewner chains and the Roper-Suffridge extension operator
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Publication:1576948
DOI10.1006/jmaa.2000.6843zbMath0965.32008OpenAlexW1979524390MaRDI QIDQ1576948
Ian Graham, Mirela Kohr, Gabriela Kohr
Publication date: 30 July 2001
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.6843
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Special families of functions of several complex variables (32A17)
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Cites Work
- Close-to-starlike holomorphic functions of several variables
- Univalent mappings associated with the Roper-Suffridge extension operator
- Convex mappings on the unit ball of \(\mathbb C^ n\)
- Subordination chains and univalence of holomorphic mappings in C\(^n\)
- Bloch constants in one and several variables
- The principle of subordination applied to functions of several variables
- Starlike and convex maps in Banach spaces
- An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
- Distortion Theorems for Bloch Functions
- Φ-Like Holomorphic Functions In C n and Banach Spaces
- Convexity properties of holomorphic mappings in ℂⁿ
- Growth and covering theorems associated with the Roper-Suffridge extension operator
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