On the Fekete and Szegö problem for starlike mappings of order \(\alpha\)

DOI10.1007/s10114-016-5762-2zbMath1372.32010OpenAlexW2547588423MaRDI QIDQ2013132

Fang Fang, Qing-Hua Xu, Tai Shun Liu

Publication date: 3 August 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-016-5762-2

zbMATH Keywords

Fekete-Szegő problemunit polydisk in \(\mathbb C^n\)unit ball in Banach space

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) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (10)

On refinement of the coefficient inequalities for a subclass of quasi-convex mappings in several complex variables ⋮ Coefficients estimate for a subclass of holomorphic mappings on the unit polydisk in Cn ⋮ 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 ⋮ Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in \(\mathbb{C}^n\) ⋮ Fekete and Szegö problem in one and higher dimensions ⋮ A refinement of the coefficient inequalities for a subclass of starlike mappings in several complex variables ⋮ On the coefficient inequality for a subclass of strongly starlike mappings of order \(\alpha \) in several complex variables ⋮ On the coefficient inequalities for a class of holomorphic mappings ⋮ The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables

Cites Work

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• Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces
• 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
• Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables
• 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
• On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
• The fekete—szegö inequality for complex parameters
• Fekete-Szego Inequalities for Close-to-Convex Functions
• On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cⁿ
• Parametric Representation of Univalent Mappings in Several Complex Variables
• A Coefficient Inequality for Certain Classes of Analytic Functions

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