2 citations · 3 across the 7 of their papers we have counts for
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Asymptotics of matrix orthogonal polynomials on the real line
Alfredo Deaño, Pablo Román
In this paper, we are interested in matrix valued orthogonal polynomials on the real line with respect to exponential weights. We obtain strong asymptotics as the degree tends to i…
An evolution of matrix-valued orthogonal polynomials
Erik Koelink, Pablo Román, Wadim Zudilin
We establish new explicit connections between classical (scalar) and matrix Gegenbauer polynomials, which result in new symmetries of the latter and further give access to several…
A partial-sum deformation for a family of orthogonal polynomials
Erik Koelink, Pablo Román, Wadim Zudilin
There are several questions one may ask about polynomials attached to a family of orthogonal polynomials . In this note…
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^{…
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…
Asymptotics of matrix valued orthogonal polynomials on
Alfredo Deaño, Arno B. J. Kuijlaars, Pablo Román
We analyze the large degree asymptotic behavior of matrix valued orthogonal polynomials (MVOPs), with a weight that consists of a Jacobi scalar factor and a matrix part. Using the…