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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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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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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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Sharp Bounds of the Hermitian Toeplitz Determinants for Certain Close-to-Star Functions
The sharp lower and upper bounds of the Hermitian Toeplitz determinants of the second and third order for certain close-to-star functions are...
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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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Sharp Bounds of the Hermitian Toeplitz Determinants for Some Classes of Close-to-Convex Functions
Sharp upper and lower bounds of the Hermitian Toeplitz determinants of the second and third orders are found for various subclasses of...
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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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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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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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Coefficient functionals for non-Bazilevič functions
Sharp bounds on the second and third order Hermitian-Toeplitz determinants, initial logarithmic and inverse coefficients for functions in the class...
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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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The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order \(\alpha \)
Sharp lower and upper bounds for the second- and third-order Hermitian Toeplitz determinants for the classes of starlike and convex functions of...
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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...
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Matrix orthogonal polynomials, non-abelian Toda lattices, and Bäcklund transformations
A connection between matrix orthogonal polynomials and non-abelian integrable lattices is investigated in this paper. The normalization factors of...
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Coefficient Problems for Certain Close-to-Convex Functions
In this paper, bounds are established for the second Hankel determinant of logarithmic coefficients for normalised analytic functions satisfying...
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What is the gradient of a scalar function defined on a subspace of square matrices ?
We illustrate a technique to calculate the gradient of scalar functions that are defined on any arbitrary matrix subspace. It generalizes our earlier...
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Positive Semi-Definite Matrices
The present chapter deals essentially with positive semi-definite matrices. It is the longest chapter of the book, but the reader should be aware...