Deaño, Alfredo, Eijsvoogel, Bruno, Román, Pablo (2021) Ladder relations for a class of matrix valued orthogonal polynomials. Studies in Applied Mathematics, 146 (2). pp. 463-497. ISSN 0022-2526. (doi:10.1111/sapm.12351) (KAR id:80236)
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Official URL: https://doi.org/10.1111/sapm.12351 |
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 \(\Bbb R\), 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\(^{-v(x)}\)e\(^{xA}\)e\(^{xA*}\) on the real line, where v is a scalar polynomial of even degree with positive leading coefficient and A is a constant matrix.
Item Type: | Article |
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DOI/Identification number: | 10.1111/sapm.12351 |
Uncontrolled keywords: | integrable systems, ladder relations, mathematical physics, non–Abelian Toda lattice, orthogonal polynomials |
Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA351 Special functions Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Funders: | Engineering and Physical Sciences Research Council (https://ror.org/0439y7842) |
Depositing User: | Alfredo Deano Cabrera |
Date Deposited: | 25 Feb 2020 17:58 UTC |
Last Modified: | 04 Mar 2024 17:07 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/80236 (The current URI for this page, for reference purposes) |
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