The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight
DOI10.1090/proc/16554zbMath1530.15006OpenAlexW4385873573MaRDI QIDQ6049983
Yu-Xi Wang, Mengkun Zhu, Yang Chen
Publication date: 11 October 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/16554
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Random matrices (algebraic aspects) (15B52) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
- Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge
- Smallest eigenvalues of Hankel matrices for exponential weights
- Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight
- The smallest eigenvalue of large Hankel matrices
- The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
- Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight
- Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
- Table errata: Table of integrals, series, and products [corrected and enlarged edition, Academic Press, New York, 1980; MR 81g:33001 by I. S. Gradshteyn [I. S. Gradshteĭn] and I. M. Ryzhik]
- On the linear statistics of Hermitian random matrices
- Thermodynamic relations of the Hermitian matrix ensembles
- Small eigenvalues of large Hankel matrices: The indeterminate case
- Small eigenvalues of large Hankel matrices
- The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
- The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight
- The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight
- Painlevé VI and Hankel determinants for the generalized Jacobi weight
- Small Eigenvalues of Large Hankel Matrices
- On Some Hermitian Forms Associated with Two Given Curves of the Complex Plane
- Painlevé V and time-dependent Jacobi polynomials
This page was built for publication: The smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weight
