Ladder relations for a class of matrix valued orthogonal polynomials

DOI10.1111/sapm.12351zbMath1471.37065arXiv1907.07447OpenAlexW2960686719MaRDI QIDQ4995585

Pablo Román, Alfredo Deaño, Bruno Eijsvoogel

Publication date: 25 June 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07447

zbMATH Keywords

orthogonal polynomialsintegrable systemsnon-abelian Toda latticeladder relations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Difference operators (39A70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

Related Items (2)

Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers ⋮ Non-Abelian Toda-type equations and matrix valued orthogonal polynomials

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