Fekete and Szegö problem in one and higher dimensions
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Publication:1989908
DOI10.1007/s11425-017-9221-8zbMath1401.32017OpenAlexW2886635498MaRDI QIDQ1989908
Xiaosong Liu, Tai Shun Liu, Qing-Hua Xu
Publication date: 29 October 2018
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-017-9221-8
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Value distribution theory in higher dimensions (32H30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)
Related Items (18)
Support points for families of univalent mappings on bounded symmetric domains ⋮ The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application ⋮ On refinement of the coefficient inequalities for a subclass of quasi-convex mappings in several complex variables ⋮ The Fekete-Szego problem by a variational method ⋮ Coefficients estimate for a subclass of holomorphic mappings on the unit polydisk in Cn ⋮ Fekete-Szegö problem for univalent mappings in one and higher dimensions ⋮ The refinement of Fekete and Szegö problems for close-to-convex functions and close-to-quasi-convex mappings ⋮ The Fekete-Szegö inequality and successive coefficients difference for a subclass of close-to-starlike mappings in complex Banach spaces ⋮ Sobolev mapping of the Bergman projections on generalized Hartogs triangles ⋮ 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 ⋮ On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables ⋮ Some refinements of the Fekete and Szegő inequality on bounded starlike circular domains in \(\mathbb{C}^n\) ⋮ On the coefficient inequality on a bounded starlike circular domain in \(\mathbb{C}^n\) ⋮ A refinement of the coefficient inequalities for a subclass of starlike mappings in several complex variables ⋮ On the coefficient inequalities for a class of holomorphic mappings ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces ⋮ Some refinements of the Fekete and Szegö inequalities in one and higher dimensions
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