Univalent mappings associated with the Roper-Suffridge extension operator
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Publication:1591329
DOI10.1007/BF02788995zbMath0981.32002MaRDI QIDQ1591329
Publication date: 19 March 2001
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Locally convex functions and the Schwarzian derivative
- Bloch functions of several complex variables
- Close-to-starlike holomorphic functions of several variables
- A property of convex conformal maps
- Biholomorphic convex mappings of the ball in \(\mathbb{C}^ n\)
- 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 mappings in several complex variables
- Starlike and convex maps in Banach spaces
- An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
- Growth and covering theorems associated with the Roper-Suffridge extension operator
- Shorter Notes: A Coefficient Inequality for Convex Univalent Functions
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