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arXiv: 1907.07447
AbstractUsing the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) on, and we derive algebraic and differential relations for these MVOPs. A particular case of importance is that of MVOPs with respect to a matrix weight of the formon the real line, whereis a scalar polynomial of even degree with positive leading coefficient andis a constant matrix.
Matemáticas, X SU(2), Matrix (chemical analysis), Mathematics, Applied, Polynomial, mathematical physics, Differential equation, integrable systems, QA372, 0102 Applied Mathematics, RODRIGUES FORMULAS, Classical Analysis and ODEs (math.CA), https://purl.org/becyt/ford/1.1, orthogonal polynomials, Ladder relations, Mathematical Physics, Applied Mathematics, Physics, LADDER RELATIONS, Abelian Toda lattice, Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions, DIFFERENTIAL-EQUATIONS, non–, MATHEMATICAL PHYSICS, Computational Theory and Mathematics, Non-Abelian Toda lattice, Mathematics - Classical Analysis and ODEs, Mathematical physics, Physical Sciences, Thermodynamics, ladder relations, Composite material, Orthogonal polynomials, MODELS, Geometry, INTEGRABLE SYSTEMS, Matrix Valued Polynomials, Mathematical analysis, Orthogonal Polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), ANALOG, QA351, FOS: Mathematics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, 4901 Applied mathematics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Difference operators, https://purl.org/becyt/ford/1, Scalar (mathematics), Matrix Algorithms and Iterative Methods, OPERATORS, Algebra over a field, NON–ABELIAN TODA LATTICE, Science & Technology, non-abelian Toda lattice, Classical orthogonal polynomials, Pure mathematics, Statistical and Nonlinear Physics, Materials science, Matrix polynomial, Physics and Astronomy, Constant coefficients, Computer Science, Integrable systems, ORTHOGONAL POLYNOMIALS, Polynomial matrix, Differential (mechanical device), Mathematics, Rogue Waves in Nonlinear Systems
Matemáticas, X SU(2), Matrix (chemical analysis), Mathematics, Applied, Polynomial, mathematical physics, Differential equation, integrable systems, QA372, 0102 Applied Mathematics, RODRIGUES FORMULAS, Classical Analysis and ODEs (math.CA), https://purl.org/becyt/ford/1.1, orthogonal polynomials, Ladder relations, Mathematical Physics, Applied Mathematics, Physics, LADDER RELATIONS, Abelian Toda lattice, Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions, DIFFERENTIAL-EQUATIONS, non–, MATHEMATICAL PHYSICS, Computational Theory and Mathematics, Non-Abelian Toda lattice, Mathematics - Classical Analysis and ODEs, Mathematical physics, Physical Sciences, Thermodynamics, ladder relations, Composite material, Orthogonal polynomials, MODELS, Geometry, INTEGRABLE SYSTEMS, Matrix Valued Polynomials, Mathematical analysis, Orthogonal Polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), ANALOG, QA351, FOS: Mathematics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, 4901 Applied mathematics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Difference operators, https://purl.org/becyt/ford/1, Scalar (mathematics), Matrix Algorithms and Iterative Methods, OPERATORS, Algebra over a field, NON–ABELIAN TODA LATTICE, Science & Technology, non-abelian Toda lattice, Classical orthogonal polynomials, Pure mathematics, Statistical and Nonlinear Physics, Materials science, Matrix polynomial, Physics and Astronomy, Constant coefficients, Computer Science, Integrable systems, ORTHOGONAL POLYNOMIALS, Polynomial matrix, Differential (mechanical device), Mathematics, Rogue Waves in Nonlinear Systems
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