The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight

doi:10.1063/1.5140079

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	The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
	Zhu,Mengkun 1; Chen,Yang2 ; Li,Chuanzhong 3
	2020-07-01
Source Publication	Journal of Mathematical Physics
ISSN	0022-2488
Volume	61 Issue: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).
DOI	10.1063/1.5140079
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Physics
WOS Subject	Physics, Mathematical
WOS ID	WOS:000547523900002
Publisher	AIP Publishing1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501
Scopus ID	2-s2.0-85087614528
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	Li,Chuanzhong
Affiliation	1.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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