1 citations · 1 across the 4 of their papers we have counts for
5 papers
A method for generating multivariate multiple orthogonal polynomials
Lidia Fernández, Juan Antonio Villegas
In the framework of multiple orthogonal polynomials (MOPs) and their extension to the multivariate setting, a unified mechanism for generating structured families of multiple ortho…
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…
A mixed interpolation-regression method for function approximation on certain planar domains
Ruymán Cruz-Barroso, Lidia Fernández, Francisco Marcellán +1
In this contribution, we introduce a mixed interpolation-regression operator for functions defined on certain planar domains. We focus on an ellipse, an annulus and a polygon. An u…
A Rodrigues Formula for Multiple Orthogonal Polynomials on the Simplex
Lidia Fernández, Ana Foulquié-Moreno, Juan Antonio Villegas
Rodrigues formulas play a central role in the construction of orthogonal polynomials associated with classical measures. In this paper, we introduce a family of multivariate multip…
Multiple Orthogonal Polynomials of two real variables
Lidia Fernández, Juan Antonio Villegas
Polynomials known as Multiple Orthogonal Polynomials in a single variable are polynomials that satisfy orthogonality conditions concerning multiple measures and play a significant…