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On a relationship between Chebyshev polynomials and Toeplitz determinants
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The Hankel and Toeplitz determinants H2,1(Ff-1/2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-
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Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions
Bulletin des Sciences Mathématiques, 2023In this study, we deal with the sharp bounds of certain Toeplitz determinants whose entries are the logarithmic coefficients of analytic univalent functions $f$ such that the quantity $z f'(z)/f(z)$ takes values in a specific domain lying in the right ...
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Evaluations of three symmetric Toeplitz determinants
Linear and multilinear algebra, 2023In this paper, we evaluate the following three symmetric Toeplitz determinants: $$\begin{align*} &{\rm det}{[|j-k|+\delta_{jk}]_{1\leq j,k\leq n}},\ {\rm det}[F_{|j-k|}+\delta_{jk}]_{1\le j,k\le n} \quad {\rm and}\\ &{\rm det}\left[\genfrac{(}{)}{}{}{|j ...
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The determinants of certain (0,1) Toeplitz matrices
Linear Algebra and its Applications, 2021This paper deals with pentadiagonal Toeplitz matrices, namely square Toeplitz matrices with four subdiagonals, two above and two below the main diagonal, that are nonzero (see [\textit{M. Andelić} and \textit{C. M. da Fonseca}, ``Some determinantal considerations for pentadiagonal matrices'', Linear Multilinear Algebra (to appear), \url{doi:10.1080 ...
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An explicit formula for the determinants of tridiagonal $2$-Toeplitz and $3$-Toeplitz matrices
Annals of Mathematical Sciences and Applications, 2023A tridiagonal matrix is a \(k\)-Toeplitz matrix if its diagonals are \(k\)-periodic. The author gives an explicit formula for its determinant when \(k=2\) or \(k=3\).
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