1 citations · 1 across the 7 of their papers we have counts for
8 papers
A class of Truncated Freud polynomials
Juan Carlos García-Ardila, Francisco Marcellán, Misael E. Marriaga
Consider the following truncated Freud linear functional depending on a parameter , The…
Generalized Gauss-Rys orthogonal polynomials
Juan C. García-Ardila, Francisco Marcellán
Let be the sequence of monic orthogonal polynomials with respect to the symmetric linear functional defined by $$\langle\mathbf{s},p\rangle=\i…
A note on Laguerre truncated polynomials and quadrature formula
Juan C. García-Ardila, Francisco Marcellán
In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function supported on an interval , $…
Uvarov Perturbations for Matrix Orthogonal Polynomials
Gerardo Ariznabarreta, Juan C. García-Ardila, Manuel Mañas +1
Additive perturbations, specifically, matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel-Uvarov formulas are deduced for the pert…
Symmetrization process and truncated orthogonal polynomials
Diego Dominici, Juan C. García-Ardila, Francisco Marcellán
We define the family of truncated Laguerre polynomials , orthogonal with respect to the linear functional defined by $$\langle{\ell,p\rangle}=\int_{0}^zp(x)x^αe^{-…
Associated orthogonal polynomials of the first kind and Darboux transformations
Juan C. García-Ardila, Francisco Marcellán, Paul H. Villamil-Hernández
Let $\un,$ be a quasi-definite linear functional defined on the space of polynomials For such a functional we can define a sequence of monic orthogonal polynomials (S…