7 papers · 1 filter
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…
Symmetric Truncated Freud polynomials
Edmundo J. Huertas, Alberto Lastra, Francisco Marcellán +1
We define the family of symmetric truncated Freud polynomials , orthogonal with respect to the linear functional defined by \begin{equation*} \langle \mathbf…
Dunkl symmetric coherent pairs of measures. An application to Fourier Dunkl-Sobolev expansions
Mabrouk Sghaier, Francisco Marcellán
Let be the Dunkl operator. A pair of symmetric measures supported on a symmetric subset of the real line is said to be a symmetric Dunkl-coherent pair if t…
Recovering orthogonality from quasi-nature of Spectral transformations
Vikash Kumar, Francisco Marcellán, A. Swaminathan
In this contribution, quasi-orthogonality of polynomials generated by Geronimus and Uvarov transformations is analyzed. An attempt is made to discuss the recovery of the source ort…
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…
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…