Sharp growth and distortion theorems for a subclass of biholomorphic mappings
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Publication:604004
DOI10.1016/j.camwa.2010.04.012zbMath1198.30015OpenAlexW2031760600MaRDI QIDQ604004
Publication date: 8 November 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.012
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)
Related Items (6)
Sharp distortion theorems for a subclass of biholomorphic mappings which have a parametric representation in several complex variables ⋮ Distortion results for a certain subclass of biholomorphic mappings in ℂn ⋮ Extreme points, support points and \(g\)-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators ⋮ Distortion theorems for classes of \(g\)-parametric starlike mappings of real order in \(\mathbb{C}^n\) ⋮ Unnamed Item ⋮ Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂn
Cites Work
- On the precise growth, covering, and distortion theorems for normalized biholomorphic mappings
- Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation
- Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
- The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)
- Applications of subordination chains to starlike mappings in \(\mathbb{C}^ n\)
- Lacunary power series and univalent functions
- Nonlinear semigroups and evolution equations
- Parametric Representation of Univalent Mappings in Several Complex Variables
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