Laguerre–Hahn orthogonal polynomials on the real line
From MaRDI portal
Publication:5108684
DOI10.1142/S2010326320400018zbMath1437.33007OpenAlexW2941625672MaRDI QIDQ5108684
Publication date: 5 May 2020
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s2010326320400018
orthogonal polynomialsdiscrete Painlevé equationsStieltjes functionLaguerre-Hahn classmatrix Sylvester equations
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) Other special orthogonal polynomials and functions (33C47)
Related Items (3)
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ About families of orthogonal polynomials satisfying Heun's differential equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Deformed Laguerre-Hahn orthogonal polynomials on the real line
- On orthogonal polynomials with perturbed recurrence relations
- Compact perturbations of orthogonal polynomials
- Characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices
- Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
- On differential equations for orthogonal polynomials on the unit circle
- Distributional equation for Laguerre-Hahn functionals on the unit circle
- Theory of recursive generation of systems of orthogonal polynomials: An illustrative example
- A Padé-type approach to non-classical orthogonal polynomials
- On Freud's equations for exponential weights
- 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
- Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
- Co-recursive orthogonal polynomials and fourth-order differential equation
- On co-recursive orthogonal polynomials and their application to potential scattering
- Orthogonal polynomials, associated polynomials and functions of the second kind
- Birth and death processes with absorption
- Finite perturbations of orthogonal polynomials
- Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
- On semi-classical linear functionals of class \(s=1\). Classification and integral representations
- On co-recursive associated Laguerre polynomials
- Laguerre-Freud's equations for the recurrence coefficients of semi- classical orthogonal polynomials
- Rational spectral transformations and orthogonal polynomials
- Matrix Riccati equations in control and systems theory
- Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
- Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
- Asymptotics for orthogonal polynomials
- Über Differentialgleichungen für Orthogonalpolynome
- Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials
- An introduction to second degree forms
- Discrete Painlevé equations: coalescences, limits and degeneracies
- The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material
- Upward extension of the Jacobi matrix for orthogonal polynomials
- Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I.
- Second-order differential equations in the Laguerre-Hahn class
- Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
- A class of orthogonal polynomials
- On Laguerre–Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
- Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
- A large family of symmetric Laguerre–Hahn polynomials of class two
- Difference and differential equations for deformed Laguerre–Hahn orthogonal polynomials on the unit circle
- Characterization of the D w -Laguerre-Hahn Functionals
- La multiplication d'une forme linéaire par une fraction rationnelle. Application aux formes de Laguerre-Hahn
- Associated Laguerre and Hermite polynomials
- Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta
- Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
- Fourth-order differential equations for numerator polynomials
- Ladder operators and differential equations for orthogonal polynomials
- Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials
- Symmetric laguerre-hahn forms of classs=1
- Orthogonal Polynomials and Painlevé Equations
- On linear spectral transformations and the Laguerre–Hahn class
- Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
- On properties of a deformed Freud weight
This page was built for publication: Laguerre–Hahn orthogonal polynomials on the real line
