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Painlevé V for a Jacobi unitary ensemble with random singularities
Zhu, Mengkun1,2; Li, Chuanzhong3,4; Chen, Yang2
2021-10-01
Source PublicationApplied Mathematics Letters
ISSN0893-9659
Volume120
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.

KeywordJacobi Unitary Ensembles Ladder Operators Orthogonal Polynomials Painlevé v
DOI10.1016/j.aml.2021.107242
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000663082700045
Scopus ID2-s2.0-85103694114
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorChen, Yang
Affiliation1.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 AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity 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.
APA Zhu, Mengkun,Li, Chuanzhong,&Chen, Yang.(2021).Painlevé V for a Jacobi unitary ensemble with random singularities.Applied Mathematics Letters,120.
MLA Zhu, Mengkun,et al."Painlevé V for a Jacobi unitary ensemble with random singularities".Applied Mathematics Letters 120(2021).
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