Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations
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Publication:5044420
DOI10.1080/10236198.2022.2119140OpenAlexW4295872791WikidataQ114099701 ScholiaQ114099701MaRDI QIDQ5044420
Glalco S. Costa, Teresa E. Pérez, Cleonice F. Bracciali
Publication date: 31 October 2022
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.10361
bivariate orthogonal polynomialsthree term relationsFreud orthogonal polynomialsmatrix Painlevé-type difference equations
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
Cites Work
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- Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization
- On Freud's equations for exponential weights
- Laguerre-Freud's equations for the recurrence coefficients of semi- classical orthogonal polynomials
- The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type
- Properties of generalized Freud polynomials
- Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective
- On bivariate classical orthogonal polynomials
- Non-commutative Painlevé equations and Hermite-type matrix orthogonal polynomials
- A semiclassical perspective on multivariate orthogonal polynomials
- Semiclassical orthogonal polynomials in two variables
- Riemann-Hilbert problem and matrix biorthogonal polynomials
- Riemann-Hilbert Problems, Matrix Orthogonal Polynomials and Discrete Matrix Equations with Singularity Confinement
- Singularity confinement for matrix discrete Painlevé equations
- The Recursion Formulas for Orthogonal Polynomials innVariables
- Orthogonality and Recursion Formulas for Polynomials in n Variables
- Discrete versions of the Painlevé equations
- Orthogonal Polynomials and Painlevé Equations
- Riemann‐Hilbert problem and matrix discrete Painlevé II systems
- Singularity confinement as an integrability criterion
- On Multivariate Orthogonal Polynomials
- Orthogonal Polynomials of Several Variables
- On Toda lattices and orthogonal polynomials