Coefficient bounds for biholomorphic mappings which have a parametric representation

DOI10.1016/j.jmaa.2009.01.056zbMath1167.32013OpenAlexW1968438276MaRDI QIDQ1018340

Qing-Hua Xu, Tai Shun Liu

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.056

zbMATH Keywords

holomorphic mappingcoefficient boundsLoewner chain\(g\)-Loewner chain

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic functions of several complex variables (32A10)

Related Items (6)

Support points for families of univalent mappings on bounded symmetric domains ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ Subordination chains and biholomorphic mappings on bounded balanced pseudoconvex domains ⋮ Biholomorphic mappings on bounded starlike circular domains ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces ⋮ The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings

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
• Extension operators for locally univalent mappings
• Loewner chains and parametric representation in several complex variables
• Loewner chains and the Roper-Suffridge extension operator
• Univalent mappings associated with the Roper-Suffridge extension operator
• Parabolic starlike mappings in several complex variables
• An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
• The Formula of FAA Di Bruno
• On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cⁿ
• Parametric Representation of Univalent Mappings in Several Complex Variables
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