Results 41 to 50 of about 1,809,211 (228)
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2022 Solutions of the discrete Painlevé II hierarchy are shown to be in relation with a family of Toeplitz determinants describing certain quantities in multicritical random partitions models, for which the limiting behavior has been recently considered in ...
Thomas Chouteau, Sofia Tarricone
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Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function [PDF]
Sahand Communications in Mathematical AnalysisHermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists
Sangarambadi Padmanabhan Vijayalakshmi +2 more
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On the limit of block Toeplitz determinants [PDF]
Proceedings of the American Mathematical Society, 1975 An asymptotic formula is derived for block Toeplitz determinants which generalizes Szeg6's well-known formula for ordinary Toeplitz determinants. The predecessor of this paper [5] was concerned, among other things, with the limiting behavior of the block Toeplitz determinants DN[.] = det TNh[01 where TN[s] = (sb.X), i, j= 0, *?, N.
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Toeplitz Determinants and Szegö's Formula [PDF]
Journal of the Australian Mathematical Society, 1969 AbstractIn this paper the Toeplitz determinant of order s ≧ 1 generated by the rational function , with , and , is evaluated exactly for all values of s ≧ m, as , where in with and , thus proving Szegö's formula for the function fm, n(z).By forming the rational approximation of the generating function the formula is then extended to enabling the ...
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Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
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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Fractal and Fractional, 2023 This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions.
Yusra Taj +5 more
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Toeplitz matrices whose elements are coefficients of Bazilevič functions
Open Mathematics, 2018 We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan +3 more
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, 2020 Python wrapper for Fortran90 toeplitz package to solve a variety of Toeplitz and circulant linear ...
Tom Eulenfeld
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Relative Szegő Asymptotics for Toeplitz Determinants
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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Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices
Advances in Difference Equations, 2019 In this paper, we deal mainly with a class of periodic tridiagonal Toeplitz matrices with perturbed corners. By matrix decomposition with the Sherman–Morrison–Woodbury formula and constructing the corresponding displacement of matrices we derive the ...
Yunlan Wei +3 more
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