On the refined esitmates of all homogeneous expansions for a subclass of biholomorphic starlike mappings in several complex variables

DOI10.1007/s11401-021-0297-yzbMath1484.32007OpenAlexW3212257559MaRDI QIDQ2062911

Xiaosong Liu, Tai Shun Liu

Publication date: 3 January 2022

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-021-0297-y

zbMATH Keywords

estimateshomogeneous expansionsstar-like mappings of several variables

Mathematics Subject Classification ID

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

Related Items (2)

Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in \(\mathbb{C}^n\) ⋮ Unnamed Item

Cites Work

• Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces
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• 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
• On coefficient estimates for a class of holomorphic mappings
• The sharp estimate of the third homogeneous expansion for a class of starlike mappings of order \(\alpha\) on the unit polydisk in \(\mathbb C^n\)
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• On the quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
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