5 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
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^{…
Deformation of matrix-valued orthogonal polynomials related to Gelfand pairs
Maarten van Pruijssen, Pablo Román
In this paper we present a method to obtain deformations of families of matrix-valued orthogonal polynomials that are associated to the representation theory of compact Gelfand pai…
Some bivariate stochastic models arising from group representation theory
Manuel D. de la Iglesia, Pablo Román
The aim of this paper is to study some continuous-time bivariate Markov processes arising from group representation theory. The first component (level) can be either discrete (quas…
Asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions
Lun Zhang, Pablo Román
We study the asymptotic zero distribution of type II multiple orthogonal polynomials associated with two Macdonald functions (modified Bessel functions of the second kind). Based o…