Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials
DOI10.1080/10652469.2016.1250082zbMath1362.33011OpenAlexW4240566707MaRDI QIDQ2968810
Ana Foulquié Moreno, Amílcar Branquinho, A. Mendes
Publication date: 22 March 2017
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10316/43942
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) Applications of operator theory to differential and integral equations (47N20) Spectral theory of functional-differential operators (34K08)
Related Items (1)
Cites Work
- Relative asymptotics for orthogonal matrix polynomials
- Orthogonal matrix polynomials, scalar-type Rodrigues formulas and Pearson equations
- Vector interpretation of the matrix orthogonality on the real line
- On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
- Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
- Differential coefficients of orthogonal matrix polynomials
- Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
- On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator
- The genetic sums' representation for the moments of a system of Stieltjes functions and its application
- Matrix Hermite-Padé problem and dynamical systems
- Padé approximants and complex high order Toda lattices
- On the full Kostant-Toda system and the discrete Korteweg-de Vries equations
- A generalization of Favard's theorem for polynomials satisfying a recurrence relation
- Matrix orthogonal polynomials whose derivatives are also orthogonal
- Markov's Theorem for Orthogonal Matrix Polynomials
- SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
- INTEGRABLE DYNAMICAL SYSTEMS ASSOCIATED WITH THE KdV EQUATION
- A GENERALIZATION OF TODA LATTICES AND THEIR BI-HAMILTONIAN STRUCTURES
- Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
- Matrix interpretation of multiple orthogonality
This page was built for publication: Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials