34 citations · 61 across the 10 of their papers we have counts for
10 papers
Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice
Mourad E. H. Ismail, Erik Koelink, Pablo Román
A general family of matrix valued Hermite type orthogonal polynomials is introduced and studied in detail by deriving Pearson equations for the weight and matrix valued differentia…
Branching rules for finite-dimensional -representations with respect to a right coideal subalgebra
Noud Aldenhoven, Erik Koelink, Pablo Román
We consider the quantum symmetric pair where is a right coideal subalgebra. We prove that all finite-dimensional irre…
Matrix-valued orthogonal polynomials related to the quantum analogue of
Noud Aldenhoven, Erik Koelink, Pablo Román
Matrix-valued spherical functions related to the quantum symmetric pair for the quantum analogue of are introduced and studied in detail. The qu…
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions
Alfredo Deaño, Arno B. J. Kuijlaars, Pablo Román
We consider polynomials orthogonal with respect to the weight on , where is the Bessel function of order . Asheim and Huybrechs considered these po…
Matrix-valued Gegenbauer polynomials
Erik Koelink, Ana M. de los Rios, Pablo Roman
We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter .…
Matrix-valued orthogonal polynomials related to (SU(2)\times SU(2),diag), II
Erik Koelink, Maarten van Pruijssen, Pablo Roman
In a previous paper we have introduced matrix-valued analogues of the Chebyshev polynomials by studying matrix-valued spherical functions on SU(2)\times SU(2). In particular the ma…