Toeplitz determinants in one and higher dimensions

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)

Cites Work

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Variation of Loewner chains, extreme and support points in the class \(S^0\) in higher dimensions
Every matrix is a product of Toeplitz matrices
Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces
The sharp estimates of all homogeneous expansions for a class of quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\)
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
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
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces
Sur la possibilité d'étendre aux fonctions de plusieurs variables complexes la théorie des fonctions univalentes.
Hermitian-Toeplitz determinants for certain univalent functions
On some best bounds for coefficients of several subclasses of biholomorphic mappings in Cⁿ
Parametric Representation of Univalent Mappings in Several Complex Variables
TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS
On the coefficient inequalities for a class of holomorphic mappings
Some extremal problems for certain families of analytic functions I

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