A proof of a weak version of the Bieberbach conjecture in several complex variables

DOI10.1007/S11425-015-5016-2zbMath1342.32003OpenAlexW2022492300WikidataQ122976428 ScholiaQ122976428MaRDI QIDQ2629798

Xiaosong Liu, Tai Shun Liu, Qing-Hua Xu

Publication date: 7 July 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5016-2

zbMATH Keywords

Bieberbach conjecturebiholomorphic star-like mappings

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Power series, series of functions of several complex variables (32A05)

Related Items (17)

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Cites Work

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• Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
• On coefficient estimates for a class of holomorphic mappings
• A proof of the Bieberbach conjecture
• The sharp estimate of the third homogeneous expansion for a class of starlike mappings of order \(\alpha\) on the unit polydisk in \(\mathbb C^n\)
• The principle of subordination applied to functions of several variables
• Starlike and convex maps in Banach spaces
• On the quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• Convexity properties of holomorphic mappings in ℂⁿ
• THE GROWTH THEOREM FOR $k$ -FOLD SYMMETRIC CONVEX MAPPINGS

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