34 citations · 281 across the 51 of their papers we have counts for
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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…
type multivariable matrix functions and matrix spherical functions
Erik Koelink, Jie Liu
Matrix spherical functions associated to the compact symmetric pair , having reduced root system of type $\mathrm{…
Orthogonal functions related to Lax pairs in Lie algebras
Wolter Groenevelt, Erik Koelink
We study a Lax pair in a -parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of and the standard basis are given in terms of or…
Convolution identities for Dunkl orthogonal polynomials from the Lie superalgebra
Erik Koelink, Jean-Michel Lemay, Luc Vinet
New convolution identities for orthogonal polynomials belonging to the analog of the Askey-scheme are obtained. A specialization of the Chihara polynomials will play a centr…