info:eu-repo/semantics/article
Ladder relations for a class of matrix valued orthogonal polynomials
Fecha
2021-02Registro en:
Deaño, Alfredo; Eijsvoogel, Bruno; Román, Pablo Manuel; Ladder relations for a class of matrix valued orthogonal polynomials; Wiley Blackwell Publishing, Inc; Studies In Applied Mathematics; 146; 2; 2-2021; 463-497
0022-2526
1467-9590
CONICET Digital
CONICET
Autor
Deaño, Alfredo
Eijsvoogel, Bruno
Román, Pablo Manuel
Resumen
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 (Formula presented.), 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 (Formula presented.) on the real line, where (Formula presented.) is a scalar polynomial of even degree with positive leading coefficient and (Formula presented.) is a constant matrix.