Painlevé V for a Jacobi unitary ensemble with random singularities

doi:10.1016/j.aml.2021.107242

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Status	已發表Published
	Painlevé V for a Jacobi unitary ensemble with random singularities
	Zhu, Mengkun 1,2; Li, Chuanzhong 3,4; Chen, Yang2
	2021-10
Source Publication	Applied Mathematics Letters
ISSN	0893-9659
Volume	120 Pages:107242
Abstract	In this paper, we focus on the relationship between the fifth Painlevé equation and a Jacobi weight perturbed with random singularities, [Formula presented] By using the ladder operator approach, we obtain that an auxiliary quantity R(t), which is closely related to the recurrence coefficients of monic polynomials orthogonal with w(z), satisfies a particular Painlevé V equation.
Keyword	Jacobi Unitary Ensembles Ladder Operators Orthogonal Polynomials Painlevé v
DOI	10.1016/j.aml.2021.107242
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000663082700045
Publisher	PERGAMON-ELSEVIER SCIENCE LTDTHE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Scopus ID	2-s2.0-85103694114
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	Chen, Yang
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, Avenida da Universidade, Taipa, Macau, China 3.College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China 4.School of Mathematics and Statistics, Ningbo University, Ningbo, 315211, China
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Zhu, Mengkun,Li, Chuanzhong,Chen, Yang. Painlevé V for a Jacobi unitary ensemble with random singularities[J]. Applied Mathematics Letters, 2021, 120, 107242.
APA	Zhu, Mengkun., Li, Chuanzhong., & Chen, Yang (2021). Painlevé V for a Jacobi unitary ensemble with random singularities. Applied Mathematics Letters, 120, 107242.
MLA	Zhu, Mengkun,et al."Painlevé V for a Jacobi unitary ensemble with random singularities".Applied Mathematics Letters 120(2021):107242.

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