Results 31 to 40 of about 1,809,211 (228)
A note on Pell-Padovan numbers and their connection with Fibonacci numbers
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan
T.P. Goy, S.V. Sharyn
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HANKEL DETERMINANT OF CERTAIN ORDERS FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS
Ural Mathematical Journal, 2022 In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized ...
D. Vamshee Krishna, D. Shalini
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Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions [PDF]
Complex Analysis and Operator Theory, 2022 In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of holomorphic mappings from a class defined on the unit ball of a complex Banach space and on the unit polydisc in Cn\documentclass[12pt]{minimal}
Surya Giri, S. S. Kumar
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On the Limit of Some Toeplitz-Like Determinants [PDF]
SIAM Journal on Matrix Analysis and Applications, 2002 In this article we derive, using standard methods of Toeplitz theory, an asymptotic formula for certain large minors of Toeplitz matrices. D. Bump and P. Diaconis obtained the same asymptotics using representation theory, with an answer having a different form.
Craig A. Tracy, Harold Widom
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Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle [PDF]
Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2022 We consider Toeplitz determinants whose symbol has: (i) a one-cut regular potential $V$, (ii) Fisher–Hartwig singularities and (iii) a smooth function in the background.
E. Blackstone, C. Charlier, J. Lenells
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Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution
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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, 2021 Python wrapper for Fortran90 toeplitz package to solve a variety of Toeplitz and circulant linear ...
Tom Eulenfeld, jsosulski
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On lacunary Toeplitz determinants [PDF]
Asymptotic Analysis, 2014 By using Riemann–Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants det N [c ℓ a −m b [f]]
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A Fredholm determinant formula for Toeplitz determinants [PDF]
Integral Equations and Operator Theory, 2000 We prove a formula expressing a general n by n Toeplitz determinant as a Fredholm determinant of an operator 1-K acting on l_2({n,n+1,...}), where the kernel K admits an integral representation in terms of the symbol of the original Toeplitz matrix.
Borodin, Alexei, Okounkov, Andrei
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