Publication: Ladder relations for a class of matrix valued orthogonal polynomials
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Publication date
2021-02
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Tutors
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Wiley Periodicals LLC
Abstract
Using 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 R, 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 form W(x)=e-v(x) exAexA* on the real line, where v is a scalar polynomial of even degree with positive leading coefficient and A is a constant matrix.
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Keywords
Integrable systems, Ladder relations, Mathematical physics, Non-Abelian Toda lattice, Orthogonal polynomials
Bibliographic citation
Deaño, A., Eijsvoogel, B., Román, P. (2020). Ladder relations for a class of matrix valued orthogonal polynomials. Studies in Applied Mathematics, 146(2), 463–497.