Fekete-Szegö problems for spirallike mappings and close-to-quasi-convex mappings on the unit ball of a complex Banach space

DOI10.1007/s00025-023-01895-6OpenAlexW4360616683MaRDI QIDQ2696292

Hidetaka Hamada

Publication date: 11 April 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-01895-6

zbMATH Keywords

Fekete-Szegö problemspirallike mappingsclose-to-quasiconvex mappings of type \(B\)spirallike mappings of type \(\beta\)

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)

Related Items (1)

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

Cites Work

• An unified approach to the Fekete-Szegő problem
• The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings
• On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
• Fekete and Szegö problem in one and higher dimensions
• Some results of Fekete-Szegö type for Bavrin's families of holomorphic functions in \(\mathbb{C}^n\)
• The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces
• Note on the Fekete-Szegö problem for spirallike mappings in Banach spaces
• Fekete-Szegö problem for Bavrin's functions and close-to-starlike mappings in \(\mathbb{C}^n\)
• On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables
• On the Fekete and Szegö inequality for a subclass of strongly starlike mappings of order \(\alpha \)
• Fekete-Szegö problem for univalent mappings in one and higher dimensions
• On the Fekete-Szego Problem for Close-to-Convex Functions
• Convexity properties of holomorphic mappings in ℂⁿ
• A Coefficient Inequality for Certain Classes of Analytic Functions
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