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math.CA2013
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…
math.CA2013★ 3 cited
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 …
math-ph2013★ 20 cited
Non-commutative Painleve' equations and Hermite-type matrix orthogonal polynomials
Mattia Cafasso, Manuel D. de la Iglesia
We study double integral representations of Christoffel-Darboux kernels associated with two examples of Hermite-type matrix orthogonal polynomials. We show that the Fredholm determ…