Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities
DOI10.1007/s13324-021-00560-xzbMath1472.37062OpenAlexW3175065973MaRDI QIDQ1981645
Yang Chen, Mengkun Zhu, Dan Wang
Publication date: 6 September 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-021-00560-x
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Random matrices (algebraic aspects) (15B52) Painlevé-type functions (33E17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
Related Items (1)
Uses Software
Cites Work
- The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Fredholm determinants, differential equations and matrix models
- Painlevé differential equations in the complex plane
- Painlevé V for a Jacobi unitary ensemble with random singularities
- The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
- Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles
- Ladder operators and differential equations for orthogonal polynomials
- Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions
- Gap Probability Distribution of the Jacobi Unitary Ensemble: An Elementary Treatment, from Finite n to Double Scaling
- The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant
- Orthogonal polynomials with discontinuous weights
- Jacobi polynomials from compatibility conditions
- Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble
- On semiclassical orthogonal polynomials associated with a Freud‐type weixght
- Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights
- On properties of a deformed Freud weight
- Orthogonal polynomials, asymptotics, and Heun equations
- Painlevé IV, σ-form, and the deformed Hermite unitary ensembles
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities