Fekete-Szegö problem for Bavrin's functions and close-to-starlike mappings in \(\mathbb{C}^n\)

DOI10.1007/s13324-022-00714-5zbMath1496.32031OpenAlexW4288535428MaRDI QIDQ2165705

Renata Długosz, Piotr Liczberski

Publication date: 22 August 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00714-5

zbMATH Keywords

\(n\)-circular domains in \(\mathbb{C}^n\)Fekete-Szegő-type estimatesclose-to-starlike mappings

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) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Related Items (4)

Coefficient problems of quasi-convex mappings of type B on the unit ball in complex Banach spaces ⋮ The refinement of Fekete and Szegö problems for close-to-convex functions and close-to-quasi-convex mappings ⋮ Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in \(\mathbb{C}^n\) ⋮ Fekete-Szegö problems for spirallike mappings and close-to-quasi-convex mappings on the unit ball of a complex Banach space

Cites Work

• Relations among starlikeness, convexity and \(k\)-fold symmetry of locally biholomorphic mappings in \(\mathbb{C}^n\)
• Close-to-starlike holomorphic functions of several variables
• On the Fekete and Szegö problem for the class of starlike mappings in several complex variables
• Some results of Fekete-Szegö type for Bavrin's families of holomorphic functions in \(\mathbb{C}^n\)
• Note on the Fekete-Szegö problem for spirallike mappings in Banach spaces
• On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables
• A refinement of the coefficient inequalities for a subclass of starlike mappings in several complex variables
• The principle of subordination applied to functions of several variables
• Starlike and convex mappings in several complex variables
• Close-to-convex schlicht functions
• Embedding theorems for holomorphic functions of several complex variables
• ON THE SUBORDINATION OF HOLOMORPHIC MAPPINGS IN C n
• Φ-Like Holomorphic Functions In C n and Banach Spaces
• Numerical Range of Holomorphic Mappings and Applications
• Complex dynamical systems and the geometry of domains in Banach spaces
• Embedding theorems and extremal problems for holomorphic functions on circular domains of ℂⁿ
• A Coefficient Inequality for Certain Classes of Analytic Functions
• The Numerical Range of Holomorphic Functions in Banach Spaces
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