THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT

doi:10.1090/proc/15757

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	THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT
	Wang, Dan1 ; Zhu, Mengkun 2,3; Chen, Yang3
	2022-01
Source Publication	Proceedings of the American Mathematical Society
ISSN	0002-9939
Volume	150 Issue:1 Pages:153-160
Abstract	An asymptotic expression for the polynomials P(z), z ∈/ (−∞, ∞), orthonormal with respect to a singularly perturbed Gaussian weight, exp(−z− t/z), z ∈ (−∞, ∞), t > 0, is established. Based on this, the asymptotic behavior of the smallest eigenvalue of the Hankel matrix generated by the weight is described.
Keyword	Asymptotics Hankel Matrices Orthogonal Polynomials Smallest Eigenvalue
DOI	10.1090/proc/15757
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000748884100015
Publisher	AMER MATHEMATICAL SOC201 CHARLES ST, PROVIDENCE, RI 02940-2213
Scopus ID	2-s2.0-85122030212
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Zhu, Mengkun
Affiliation	1.Department of Applied Mathematics, School of Computer Science and Artificial Intelligence, Changzhou University, 213164, China 2.School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences, Jinan, 250353, China 3.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Avenida da Universidade, Macao
Corresponding Author Affilication	Faculty of Science and Technology
Recommended Citation GB/T 7714	Wang, Dan,Zhu, Mengkun,Chen, Yang. THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT[J]. Proceedings of the American Mathematical Society, 2022, 150(1), 153-160.
APA	Wang, Dan., Zhu, Mengkun., & Chen, Yang (2022). THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT. Proceedings of the American Mathematical Society, 150(1), 153-160.
MLA	Wang, Dan,et al."THE SMALLEST EIGENVALUE of LARGE HANKEL MATRICES ASSOCIATED with A SINGULARLY PERTURBED GAUSSIAN WEIGHT".Proceedings of the American Mathematical Society 150.1(2022):153-160.

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