35 citations · 137 across the 19 of their papers we have counts for
20 papers
Matrix-Valued Hermite and Laguerre polynomials via Quadratic Transformation
Inés Pacharoni, A. Victoria Torres
We present the first systematic extension of the classical Hermite-Laguerre quadratic correspondence to the matrix-valued setting. Starting from a Hermite-type weight matrix W(x) =…
Structure of operator algebras for matrix orthogonal polynomials
Ignacio Bono Parisi, Inés Pacharoni
In this paper, we study the structure of the differential operator algebra \( \mathcal{D}(W) \) and its associated eigenvalue algebra \( Λ(W) \) for matrix-valued orthogonal polyno…
Singular solutions of the matrix Bochner problem: the -dimensional cases
Ignacio Bono Parisi, Inés Pacharoni
In the theory of matrix-valued orthogonal polynomials, there exists a longstanding problem known as the Matrix Bochner Problem: the classification of all weight matric…
On a new equivalence relation for matrix-valued orthogonal polynomials
Ignacio Bono Parisi, Inés Pacharoni, Ignacio Zurrián
In this work, we give some criteria that allow us to decide when two sequences of matrix-valued orthogonal polynomials are related via a Darboux transformation and how to build suc…
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…
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…