Growth and distortion theorems for almost starlike mappings of complex order \(\lambda\)

DOI10.1016/S0252-9602(18)30782-3zbMath1438.32023OpenAlexW2802930549MaRDI QIDQ2313107

Jin Lu, Xiao-Fei Zhang, Xiaofei Li

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30782-3

zbMATH Keywords

distortion theoremconvex mappingSchwarz lemma at the boundary

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (5)

The subordination principle and its application to the generalized Roper-Suffridge extension operator ⋮ Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Janowski-starlike mappings of complex order \(\lambda\) on the unit ball \(B^n\)

Cites Work

• The evolution of Loewner's differential equations
• The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)
• The growth theorem for starlike mappings on bounded starlike circular domains
• Loewner chains and parametric representation in several complex variables
• A distortion theorem for subclasses of starlike mappings along a unit direction in \(\mathbb C^n\)
• Subordination chains and univalence of holomorphic mappings in C\(^n\)
• The growth theorem and distortion theorem of spirallike mappings on \(B_p\)
• On the Grunsky inequalities for univalent functions
• Parametric Representation of Univalent Mappings in Several Complex Variables
• The growth theorem for biholomorphic mappings in several complex variables
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