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Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions
In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with...
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Hermitian–Toeplitz determinants for certain univalent functions
Sharp upper and lower bounds for the second and third order Hermitian–Toeplitz determinants are obtained for some general subclasses of starlike and...
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Sharp Bounds on Hermitian Toeplitz Determinants for Sakaguchi Classes
The main purpose of this paper is to derive the sharp lower and upper bounds on Hermitian Toeplitz determinants for starlike and convex functions...
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The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function
In the current investigation, estimates for the second- and third-order Hermitian Toeplitz determinants for few subclasses of analytic functions...
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The fourth-order Hermitian Toeplitz determinant for convex functions
The sharp bounds for the fourth-order Hermitian Toeplitz determinant over the class of convex functions are computed.
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Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions
The sharp upper and lower bounds on the Hermitian-Toeplitz determinant of third order are computed for the classes of strongly starlike functions,...
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Hermitian-Toeplitz Determinants for Certain Classes of Close-to-Convex Functions
The class of close-to-convex functions are univalent and so its subclasses. For normalised analytic functions defined on the unit disk, four...
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An Aggregation-Based Two-Grid Method for Multilevel Block Toeplitz Linear Systems
This paper presents an aggregation-based two-grid method for solving a multilevel block Toeplitz system. Different from the existing multigrid...
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Commuting Toeplitz Operators and Moment Maps on Cartan Domains of Type III
Let \(D^{III}_n\) and...
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Toeplitz Operators on CR Manifolds and Group Actions
Let X be a connected orientable compact CR manifold with non-degenerate Levi form. In this paper, we study the algebra of Toeplitz operators on X and...
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Asymptotic Eigenvalue Expansions for Toeplitz Matrices with Certain Fisher–Hartwig Symbols
The present paper is a survey of some of the authors’ results on the asymptotic behavior of individual eigenvalues and eigenvectors of sequences of...
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Semi-classical Spectral Asymptotics of Toeplitz Operators on Strictly Pseudodonvex Domains
On a relatively compact strictly pseudoconvex domain with smooth boundary in a complex manifold of dimension n we consider a Toeplitz operator...
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Toeplitz Determinants for a Class of Holomorphic Map**s in Higher Dimensions
In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of holomorphic map**s from a class...
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Radial-like Toeplitz Operators on Cartan Domains of Type I
Let \({\mathrm {D}}^{{\mathrm {I}}}_{n \times n}\) be the Cartan domain...
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The Third-Order Hermitian Toeplitz Determinant for Classes of Functions Convex in One Direction
In this paper, the sharp bounds for the third Hermitian Toeplitz determinant over classes of functions convex in the direction of the imaginary axis...
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Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions
Our main purpose in this paper is to obtain certain sharp estimates of the third Hankel determinant for the class ℱ of Ozaki close-to-convex...
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Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method
Generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method is a numerical method for obtaining the solution of linear systems...
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Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions
For some subclasses of close-to-star functions the sharp upper and lower bounds of the second and third-order Hermitian Toeplitz determinants are...
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Harold Widom’s Contributions to the Spectral Theory and Asymptotics of Toeplitz Operators and Matrices
This is a survey of Harold Widom’s work in the spectral theory of Toeplitz and Wiener-Hopf operators and on asymptotic problems for truncations of...