The sharp estimates of main coefficients for starlike mappings in ℂn

DOI10.1080/17476933.2020.1788002zbMath1478.32012OpenAlexW3042805165MaRDI QIDQ5161630

Xiaosong Liu, Wen-Jun Zhang, Tai Shun Liu

Publication date: 1 November 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1788002

zbMATH Keywords

Reinhardt domaincoefficient estimatesstar-like mappingstar-like mapping of order \(\alpha \)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (2)

A subclass of quasi-convex mappings on a Reinhardt domain in \(\mathbb{C}^n\) ⋮ Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in \(\mathbb{C}^n\)

Cites Work

• Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
• The sharp estimate of the third homogeneous expansion for a class of starlike mappings of order \(\alpha\) on the unit polydisk in \(\mathbb C^n\)
• A refinement about estimation of expansion coefficients for normalized biholomorphic mappings
• Coefficient estimates for starlike mappings
• A proof of a weak version of the Bieberbach conjecture in several complex variables
• THE GROWTH THEOREM FOR $k$ -FOLD SYMMETRIC CONVEX MAPPINGS
• Coefficient Estimates for Starlike Functions of Order &#945
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