The symmetrization problem for multiple orthogonal polynomials

DOI10.1007/978-3-030-56190-1_2zbMath1460.33005arXiv1310.0088OpenAlexW1806896848MaRDI QIDQ2658250

Edmundo J. Huertas, Amílcar Branquinho

Publication date: 19 March 2021

Full work available at URL: https://arxiv.org/abs/1310.0088

recurrence relations linear functionals Darboux transformations matrix orthogonal polynomials multiple orthogonal polynomials operator theory full Kostant-Toda systems symmetrization problem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Matrix and operator functional equations (39B42)

Cites Work

Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
Interlacing properties of zeros of multiple orthogonal polynomials
Quadratic decomposition of orthogonal polynomials: a matrix approach
Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials
Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials
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
A survey on orthogonal matrix polynomials satisfying second order differential equations
Darboux transformation and perturbation of linear functionals
Orthogonal matrix polynomials and higher-order recurrence relations
Une caractérisation des polynômes \(d\)-orthogonaux classiques
The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
On the full Kostant-Toda system and the discrete Korteweg-de Vries equations
Cubic decomposition of 2-orthogonal polynomial sequences
High-order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets
On the general cubic decomposition of polynomial sequences
Complex high order Toda and Volterra lattices1
LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
Multiple orthogonal polynomials for classical weights
Method for Solving the Korteweg-deVries Equation
On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
Some classical multiple orthogonal polynomials
On Toda lattices and orthogonal polynomials
Matrix interpretation of multiple orthogonality
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