3 papers
math.CA2026
Multiple Orthogonal Polynomials on the Ball and Radial Extensions
Lidia Fernández, Juan Antonio Villegas
A primary method for constructing orthogonal polynomials on the unit ball consists of combining a Jacobi-type radial component with a spherical harmonic angular part. Building upon…
math.CA2024
R type three term relations for bivariate polynomials orthogonal with respect to varying weights
Cleonice F. Bracciali, Antonia M. Delgado, Lidia Fernández +1
Given a bivariate weight function defined on the positive quadrant of , we study polynomials in two variables orthogonal with respect to varying measures obtained by…
math.NA2024
Orthogonal Laurent polynomials of two real variables
Ruymán Cruz-Barroso, Lidia Fernández
In this paper we consider an appropriate ordering of the Laurent monomials , that allows us to study sequences of orthogonal Laurent polynomials of…