THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT

doi:10.7153/mia-2024-27-04

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	THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT
	Wang, Dan 1; Zhu, Mengkun 2; Chen, Yang3
	2024-01
Source Publication	Mathematical Inequalities and Applications
ISSN	1331-4343
Volume	27 Issue:1 Pages:53-62
Abstract	The smallest eigenvalue of large Hankel matrices generated by a semiclassical Laguerre weight, z^αe^-z2+tz, where z ∈ [0, ∞), α > −1, and t ∈ R , can be obtained through the asymptotics of the orthonormal polynomials P_n(z) with respect to this weight.
Keyword	Asymptotics Hankel Matrices Polynomials Smallest Eigenvalue
DOI	10.7153/mia-2024-27-04
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics
WOS ID	WOS:001163724400001
Publisher	ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA
Scopus ID	2-s2.0-85187669834
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	Faculty of Science and Technology DEPARTMENT OF MATHEMATICS
Corresponding Author	Zhu, Mengkun
Affiliation	1.School of Computer Science and Artificial Intelligence, Changzhou University, Changzhou, 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, Avenida da Universidade Taipa, Macao
Recommended Citation GB/T 7714	Wang, Dan,Zhu, Mengkun,Chen, Yang. THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT[J]. Mathematical Inequalities and Applications, 2024, 27(1), 53-62.
APA	Wang, Dan., Zhu, Mengkun., & Chen, Yang (2024). THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT. Mathematical Inequalities and Applications, 27(1), 53-62.
MLA	Wang, Dan,et al."THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT".Mathematical Inequalities and Applications 27.1(2024):53-62.

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