Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
From MaRDI portal
Publication:2816497
DOI10.1080/10652469.2016.1160903zbMath1350.33015OpenAlexW2315587880MaRDI QIDQ2816497
Publication date: 23 August 2016
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2016.1160903
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Painlevé-type functions (33E17)
Related Items (7)
A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight ⋮ Laguerre-Freud equations for Generalized Hahn polynomials of type I ⋮ Differential equations for families of semi-classical orthogonal polynomials within class one ⋮ Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ The symmetric semi-classical orthogonal polynomials of class two and some of their extensions ⋮ Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one
Cites Work
- Unnamed Item
- Discrete semiclassical orthogonal polynomials of class one
- The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation
- On orthogonal polynomials with perturbed recurrence relations
- On Freud's equations for exponential weights
- Linear birth and death models and associated Laguerre and Meixner polynomials
- Co-recursive orthogonal polynomials and fourth-order differential equation
- Complex path integral representation for semiclassical linear functionals
- Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one
- On semi-classical linear functionals of class \(s=1\). Classification and integral representations
- Laguerre-Freud's equations for the recurrence coefficients of semi- classical orthogonal polynomials
- Rational spectral transformations and orthogonal polynomials
- Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
- On semiclassical linear functionals: Integral representations
- An introduction to second degree forms
- Upward extension of the Jacobi matrix for orthogonal polynomials
- Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
- The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
- Associated Laguerre and Hermite polynomials
- Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials
- Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta
- Semi-classical Laguerre polynomials and a third-order discrete integrable equation
- Fourth-order differential equations for numerator polynomials
- Ladder operators and differential equations for orthogonal polynomials
- Symmetric laguerre-hahn forms of classs=1
This page was built for publication: Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
