Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials (Q6097753)

scientific article; zbMATH DE number 7693248

Language	Label	Description	Also known as
English	Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	scientific article; zbMATH DE number 7693248

Statements

instance of

scholarly article

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title

Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials (English)

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author

Maria das Neves Rebocho

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7 June 2023

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full work available at URL

https://arxiv.org/abs/2205.14245

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zbMATH Keywords

orthogonal polynomials

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matrix Sylvester equations

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deformed weight

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semi-classical weight

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Painlevé equations

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MaRDI profile type

MaRDI publication profile

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cites work

Associated Laguerre and Hermite polynomials

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On the distribution of the length of the longest increasing subsequence of random permutations

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Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model

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Estimates of the Hermite and the Freud polynomials

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Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line

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Deformed Laguerre-Hahn orthogonal polynomials on the real line

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Q4170993

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Q3879548

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Moments of the derivative of characteristic polynomials with an application to the Riemann zeta function

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Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions

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Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one

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Q3574974

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Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable bosons

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Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE.

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Application of the τ‐function theory of Painlevé equations to random matrices: PV, PIII, the LUE, JUE, and CUE

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Application of theτ-function theory of Painlevé equations to random matrices:PVI, the JUE, CyUE, cJUE and scaled limits

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Random matrix theory and the sixth Painlevé equation

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Associated orthogonal polynomials of the first kind and Darboux transformations

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Theory of recursive generation of systems of orthogonal polynomials: An illustrative example

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The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials

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Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent

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Random matrix theory and \(\zeta(1/2+it)\).

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Q3788297

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Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials

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On orthogonal polynomials with perturbed recurrence relations

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Q4853625

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Form factor expansions in the 2D Ising model and Painlevé VI

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Q5485625

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A New Class of Orthogonal Polynomials

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Laguerre–Hahn orthogonal polynomials on the real line

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Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials

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Co-recursive orthogonal polynomials and fourth-order differential equation

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Upward extension of the Jacobi matrix for orthogonal polynomials

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A differential equation for orthogonal polynomials

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On co-recursive orthogonal polynomials and their application to potential scattering

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Q3424679

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Q4061445

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A Fredholm determinant representation in ASEP

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Level spacing distributions and the Bessel kernel

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Orthogonal polynomials, associated polynomials and functions of the second kind

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Orthogonal Polynomials and Painlevé Equations

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Explicit Formulas for the Associated Jacobi Polynomials and Some Applications

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Rational spectral transformations and orthogonal polynomials

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Identifiers

zbMATH Open document ID

1519.34002

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arXiv ID

2205.14245

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Mathematics Subject Classification ID

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10.1088/1361-6544/ACD4A3

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Sitelinks

Mathematics(1 entry)

mardi Publication:6097753