Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables

DOI10.1007/s11464-015-0496-5zbMath1325.32004OpenAlexW2280612949MaRDI QIDQ889428

Huiming Xu, Ting Yang, Qing-Hua Xu, Tai Shun Liu

Publication date: 6 November 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0496-5

zbMATH Keywords

Fekete-Szegő problemquasi-convex mappingsunit ball in a Banach spaceunit polydisk in \(\mathbb C^n\)

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 (10)

On refinement of the coefficient inequalities for a subclass of quasi-convex mappings in several complex variables ⋮ On the Fekete and Szegö inequality for a subclass of strongly starlike mappings of order \(\alpha \) ⋮ Coefficient inequality for a subclass of biholomorphic mappings in several complex variables ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ Coefficient problems of quasi-convex mappings of type B on the unit ball in complex Banach spaces ⋮ Toeplitz determinants for a class of holomorphic mappings in higher dimensions ⋮ On the Fekete and Szegö problem for starlike mappings of order \(\alpha\) ⋮ On the coefficient inequality for a subclass of strongly starlike mappings of order \(\alpha \) in several complex variables ⋮ The coefficient inequalities for a class of holomorphic mappings in several complex variables ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An unified approach to the Fekete-Szegő problem
• The sharp estimates of all homogeneous expansions for a class of quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• On the Fekete-Szegö problem for concave univalent functions
• The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings
• 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
• A proof of the Bieberbach conjecture
• Loewner chains and parametric representation in several complex variables
• The Fekete-Szegö problem for close-to-convex functions with respect to the Koebe function
• On growth and covering theorems of quasi-convex mappings in the unit ball of a complex Banach space
• On the Grunsky inequalities for univalent functions
• Some remarks on convex maps of the unit disk
• On the quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
• The fekete—szegö inequality for complex parameters
• Fekete-Szego Inequalities for Close-to-Convex Functions
• Convexity properties of holomorphic mappings in ℂⁿ
• On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cⁿ
• Parametric Representation of Univalent Mappings in Several Complex Variables
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• A Coefficient Inequality for Certain Classes of Analytic Functions
• On Convex Univalent Functions

This page was built for publication: Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables