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Ladder relations for a class of matrix valued orthogonal polynomials

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URI: https://hdl.handle.net/10016/32063
ISSN: 0022-2526
DOI: https://doi.org/10.1111/sapm.12351
UXXI: AR/0000026487
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Ladder_SAM_2021.pdf (438.09 KB)
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2021-02
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Wiley Periodicals LLC
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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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Integrable systems, Ladder relations, Mathematical physics, Non-Abelian Toda lattice, Orthogonal polynomials
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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.
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