Subordination chains and biholomorphic mappings on bounded balanced pseudoconvex domains

DOI10.1016/j.camwa.2011.02.011zbMath1219.32015OpenAlexW2050986494MaRDI QIDQ636570

Qing-Hua Xu, Tai Shun Liu

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.011

zbMATH Keywords

subordination chainscoefficient boundspseudoconvex domainsgrowth and covering theorem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Pseudoconvex domains (32T99)

Cites Work

• 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
• Coefficient bounds for biholomorphic mappings which have a parametric representation
• The growth theorem for starlike mappings on bounded starlike circular domains
• Loewner chains and parametric representation in several complex variables
• Loewner chains and the Roper-Suffridge extension operator
• Starlike mappings on bounded balanced domains with \(C^1\)-plurisubharmonic defining functions
• An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
• On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cⁿ
• Parametric Representation of Univalent Mappings in Several Complex Variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Subordination chains and biholomorphic mappings on bounded balanced pseudoconvex domains