3 papers
math.CA2025
Explicit construction of matrix-valued orthogonal polynomials of arbitrary size
Ignacio Bono Parisi
In this paper, we explicitly provide expressions for a sequence of orthogonal polynomials associated with a weight matrix of size constructed from a collection of scalar weight…
math.CA2025
The algebra via strong Darboux transformations
Ignacio Bono Parisi, Inés Pacharoni
The Matrix Bochner Problem aims to classify weight matrices such that the algebra , of all differential operators that have a sequence of matrix-valued orthogona…
math.CA2025
Darboux transformations and the algebra
Ignacio Bono Parisi, Inés Pacharoni
The problem of finding weight matrices of size such that the associated sequence of matrix-valued orthogonal polynomials are eigenfunctions of a second-order ma…