Results 11 to 20 of about 1,809,211 (228)
Aspects of Toeplitz Determinants [PDF]
, 2011 We review the asymptotic behavior of a class of Toeplitz (as well as related Hankel and Toeplitz + Hankel) determinants which arise in integrable models and other contexts.
Igor Krasovsky, Krasovsky, Igor
core +4 more sources
Asymptotics of block Toeplitz determinants with piecewise continuous symbols [PDF]
Communications on Pure and Applied Mathematics, 2023 We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
E. Basor, T. Ehrhardt, J. Virtanen
semanticscholar +5 more sources
Hermitian–Toeplitz determinants for certain univalent functions [PDF]
Analysis and Mathematical Physics, 2022 Sharp upper and lower bounds for the second and third order Hermitian–Toeplitz determinants are obtained for some general subclasses of starlike and convex functions. Applications of these results are also discussed for several widely known classes.
Surya Giri, S. S. Kumar
semanticscholar +4 more sources
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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Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2023 This work provides the general framework for obtaining strong Szegő limit theorems for multi-bordered, semi-framed, framed, and multi-framed Toeplitz determinants, extending the results of Basor et al.
R. Gharakhloo
semanticscholar +3 more sources
Emergence of a singularity for Toeplitz determinants and Painlevé V [PDF]
Duke Mathematical Journal, 2011 We obtain asymptotic expansions for Toeplitz determinants corresponding to a family of symbols depending on a parameter t. For t positive, the symbols are regular so that the determinants obey Szegő’s strong limit theorem.
Claeys, Tom +11 more
core +6 more sources
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
doaj +2 more sources
Hermitian Toeplitz determinants for the class S of univalent functions [PDF]
Armenian Journal of Mathematics, 2021 Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants of third order for the class S of functions univalent in the unit disc. The new approach is also illustrated on some subclasses of the class S.
M. Obradovic, N. Tuneski
semanticscholar +2 more sources
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 ...
Maslina Darus +2 more
exaly +2 more sources
Toeplitz determinants with perturbations in the corners [PDF]
Journal of Functional Analysis, 2015 This paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz matrices with perturbations by blocks of fixed size in the four corners.
Garcia, Stephan Ramon +3 more
core +5 more sources