4 papers · 1 filter
Uvarov Perturbations for Matrix Orthogonal Polynomials
Gerardo Ariznabarreta, Juan C. García-Ardila, Manuel Mañas +1
Additive perturbations, specifically, matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel-Uvarov formulas are deduced for the pert…
Symmetrization process and truncated orthogonal polynomials
Diego Dominici, Juan C. García-Ardila, Francisco Marcellán
We define the family of truncated Laguerre polynomials , orthogonal with respect to the linear functional defined by $$\langle{\ell,p\rangle}=\int_{0}^zp(x)x^αe^{-…
Bispectrality for Matrix Laguerre-Sobolev polynomials
Francisco Marcellán, Ignacio Zurrián
In this contribution we deal with sequences of polynomials orthogonal with respect to a Sobolev type inner product. A banded symmetric operator is associated with such a sequence o…
Linear functionals and - coherent pairs of the second kind
Diego Dominici, Francisco Marcellán
We classify all the \emph{-}coherent pairs of measures of the second kind on the real line. We obtain cases, corresponding to all the families of discrete semiclassical orth…