Ladder relations for a class of matrix valued orthogonal polynomials

Deaño Cabrera, Alfredo; Eijsvoogel, Bruno; Román, Pablo

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Ladder relations for a class of matrix valued orthogonal polynomials

Author(s): Deaño Cabrera, Alfredo; Eijsvoogel, Bruno; Román, Pablo

Publisher: Wiley Periodicals LLC

Issued date: 2021-02

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.

ISSN: 0022-2526

DOI: https://doi.org/10.1111/sapm.12351

Sponsor: Erasmus+ travel grant and EPSRC grant "Painlevé equations: analytical properties and numerical computation," reference EP/P026532/1; London Mathematical Society (Research in pairs scheme); FONCyT grant PICT 2014-3452; SeCyTUNC.

Keywords: Integrable systems , Ladder relations , Mathematical physics , Non-Abelian Toda lattice , Orthogonal polynomials

URI: http://hdl.handle.net/10016/32063

Rights: © 2020 The Authors
Atribución 3.0 España

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 [+]

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