34 citations · 35 across the 3 of their papers we have counts for
7 papers
Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers
Bruno Eijsvoogel, Lucía Morey, Pablo Román
In this paper we introduce a notion of duality for matrix valued orthogonal polynomials with respect to a measure supported on the nonnegative integers. We show that the dual famil…
Ladder relations for a class of matrix valued orthogonal polynomials
Alfredo Deaño, Bruno Eijsvoogel, Pablo Román
Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials…
Matrix valued Laguerre polynomials
Erik Koelink, Pablo Román
Matrix valued Laguerre polynomials are introduced via a matrix weight function involving several degrees of freedom using the matrix nature. Under suitable conditions on the parame…
Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
Mourad E. H. Ismail, Erik Koelink, Pablo Román
Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its -analogue.…
Matrix elements of irreducible representations of and multivariable matrix-valued orthogonal polynomials
Erik Koelink, Maarten van Pruijssen, Pablo Román
In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under a suitable multiplicity freeness assumption and additional conditions on the branching…
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
Alfredo Deaño, Edmundo J. Huertas, Pablo Román
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure: \[ \frac{1}{x-c}x^{α}e^{-x}dx+Nδ(x-…