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The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
Zhu,Mengkun1; Chen,Yang2; Li,Chuanzhong3
2020-07-01
Source PublicationJournal of Mathematical Physics
ISSN0022-2488
Volume61Issue:7
Abstract

An asymptotic expression of the orthonormal polynomials PN(z) as N → ∞, associated with the singularly perturbed Laguerre weight wα(x;t)=xαe-x-tx,x∈[0,∞),α>-1,t≥0, is derived. Based on this, we establish the asymptotic behavior of the smallest eigenvalue, λN, of the Hankel matrix generated by the weight wα(x; t).

DOI10.1063/1.5140079
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000547523900002
Scopus ID2-s2.0-85087614528
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLi,Chuanzhong
Affiliation1.School of Mathematics and Statistics,Qilu University of Technology,Shandong Academy of Sciences,Jinan,250353,China
2.Department of Mathematics,University of Macau,Taipa,Avenida da Universidade,Macao
3.School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China
Recommended Citation
GB/T 7714
Zhu,Mengkun,Chen,Yang,Li,Chuanzhong. The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight[J]. Journal of Mathematical Physics,2020,61(7).
APA Zhu,Mengkun,Chen,Yang,&Li,Chuanzhong.(2020).The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight.Journal of Mathematical Physics,61(7).
MLA Zhu,Mengkun,et al."The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight".Journal of Mathematical Physics 61.7(2020).
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