20 citations · 41 across the 11 of their papers we have counts for
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Darboux transformations of linear birth-death processes
José Arcia-Manoleskos, Manuel Domínguez de la Iglesia
In a previous paper we characterized the lower-upper (LU) and upper-lower (UL) factorizations of the infinitesimal generator of a possibly nonconservative birth-death process whose…
QBD processes associated with Jacobi-Koornwinder bivariate polynomials and urn models
Lidia Fernández, Manuel D. de la Iglesia
We study a family of quasi-birth-and-death (QBD) processes associated with the so-called first family of Jacobi-Koornwinder bivariate polynomials. These polynomials are orthogonal…
Differential equations for discrete Jacobi-Sobolev orthogonal polynomials
Antonio J. Durán, Manuel D. de la Iglesia
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Jacobi-Sobolev bilinear form with mass point at and/or . In…
Constructing Krall-Hahn orthogonal polynomials
Antonio J. Durán, Manuel D. de la Iglesia
Given a sequence of polynomials , an algebra of operators acting in the linear space of polynomials and an operator with …
Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
Antonio J. Durán, Manuel D. de la Iglesia
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre-Sobolev bilinear form with mass point at zero. In particular…
Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk
Antonio J. Durán, Manuel D. de la Iglesia
Given a sequence of polynomials , an algebra of operators acting in the linear space of polynomials and an operator with …
Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions
Antonio J. Duran, Manuel D. de la Iglesia
The aim of this paper is to bring into the picture a new phenomenon in the theory of orthogonal matrix polynomials satisfying second order differential equations. The last few year…