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math.CA2023
Matrix exceptional Laguerre polynomials
Erik Koelink, Lucía Morey, Pablo Román
We give an analog of exceptional polynomials in the matrix valued setting by considering suitable factorizations of a given second order differential operator and performing Darbou…
math.CA2023
Lie algebras of differential operators for Matrix valued Laguerre type polynomials
Andrea L. Gallo, Pablo Román
We study algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) with respect to a weight matrix of the form $W^{(ν)}_ϕ(x) = x^νe^{…
math.CA2023★ 2 cited
Non Abelian Toda-type equations and matrix valued orthogonal polynomials
Alfredo Deaño, Lucía Morey, Pablo Román
In this paper, we study parameter deformations of matrix valued orthogonal polynomials (MVOPs). These deformations are built on the use of certain matrix valued operators which are…