Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows [PDF]
Special Matrices, 2019 In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block ...
Zhang Maoyun +2 more
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Asymptotic formulas for Toeplitz determinants [PDF]
Transactions of the American Mathematical Society, 1978 The object of this paper is to find an asymptotic formula for determinants of finite dimensional Toeplitz operators generated by a class of functions with singularities. The formula is a generalization of the Strong Szegö Limit Theorem.
Estelle Basor
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Sharp Bounds of Hermitian Toeplitz Determinants for Bounded Turning Functions [PDF]
SymmetryHermitian Toeplitz determinants are used in multiple disciplines, including functional analysis, applied mathematics, physics, and engineering sciences. We calculate the sharp upper and lower bounds on the fourth-order Hermitian Toeplitz determinant for ...
Wahid Ullah +3 more
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Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions
Mathematics, 2023 In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator.
Huo Tang +3 more
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Relative Szegő Asymptotics for Toeplitz Determinants [PDF]
International Mathematics Research Notices, 2017 Abstract We study the asymptotic behaviour, as $n \to \infty$, of ratios of Toeplitz determinants $D_n({\rm e}^h {\rm d}\mu)/D_n({\rm d}\mu)$ defined by a measure $\mu$ on the unit circle and a sufficiently smooth function $h$. The approach we follow is based on the theory of orthogonal polynomials.
Duits, Maurice, Kozhan, Rostyslav
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Toeplitz and Hankel determinants of logarithmic coefficients for r-valent q-starlike and r-valent q-convex functions [PDF]
MethodsXThe aim of the present paper is to extend the notions of q-starlikeness and q-convexity to encompass multivalent q-starlikeness and multivalent q-convexity.
Pishtiwan Othman Sabir, Awara Ahmed Ali
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TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2018 Let ${\mathcal{S}}$ denote the class of analytic and univalent functions in $\mathbb{D}:=\{z\in \mathbb{C}:|z|
Firoz Ali, D. K. Thomas, A. Vasudevarao
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Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution [PDF]
Symmetry, 2023 In this work, we derive coefficient bounds for the symmetric Toeplitz matrices T2(2), T2(3), T3(1), and T3(2), which are the known first four determinants for a new family of analytic functions with Borel distribution series in the open unit disk U ...
A. Wanas +3 more
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Journal of Function SpacesThis article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi +2 more
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Spin-spin correlators on the β/β⋆ boundaries in 2D Ising-like models: Exact analysis through theory of block Toeplitz determinants [PDF]
Nuclear Physics BIn this work, we investigate quantitative properties of correlation functions on the boundaries between two 2D Ising-like models with dual parameters β and β⋆.
Yizhuang Liu
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