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Orthogonal polynomials, asymptotics, and Heun equations

Published:2019-11-01 Issue:11 Volume:60 Page:113501
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Chen Yang¹^ORCID,Filipuk Galina²^ORCID,Zhan Longjun³^ORCID

Affiliation:

1. Department of Mathematics, University of Macau, Avenida da Universidade, Taipa, Macau, China

2. Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, Warsaw, 02-097, Poland

3. School of Mathematical Science, Fudan University, Shanghai 200433, China

Funder

Science and Technology Development FundMacau

Multi-Year Research GrantUniversity of Macau

National Science Centervia NCN OPUS

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5102102

Reference56 articles.

1. Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles

2. Perturbed Hankel determinants

3. Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory

4. Asymptotics of determinants of Hankel matrices via non-linear difference equations

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Appell-type orthogonal polynomials on lattices;The Ramanujan Journal;2024-04-25

2. Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices;Mathematical Physics, Analysis and Geometry;2024-03

3. The Jacobi-type polynomials and general Heun equations;Applied Mathematics Letters;2023-10

4. A singular linear statistic for a perturbed LUE and the Hankel matrices;Journal of Mathematical Physics;2023-08-01

5. Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble;Journal of Mathematical Physics;2023-08-01

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