The estimates of all homogeneous expansions for a subclass of biholomorphic mappings which have parametric representation in several complex variables

DOI10.1007/s10114-016-5226-8zbMath1364.32006OpenAlexW2548252316MaRDI QIDQ523722

Xiaosong Liu, Tai Shun Liu

Publication date: 21 April 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5226-8

zbMATH Keywords

polydiskball in complex Banach spacebiholomorphic starlike mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Other generalizations of function theory of one complex variable (32A30)

Related Items (4)

Coefficients estimate for a subclass of holomorphic mappings on the unit polydisk in Cn ⋮ Bounds of all terms of homogeneous expansions for a subclass of \(g\)-parametric biholomorphic mappings in \(\mathbb{C}^n\) ⋮ Unnamed Item ⋮ On the refined esitmates of all homogeneous expansions for a subclass of biholomorphic starlike mappings in several complex variables

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• On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space
• A proof of a weak version of the Bieberbach conjecture in several complex variables
• On the quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• On the Coefficients of Subordinate Functions
• On a theorem of Grace

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