3 papers
math.NA2026
Laguerre-Sobolev orthogonal Polynomials and Boundary Value Problems on a semi-infinite domain
Cleonice F. Bracciali, Miguel A. Piñar
We study a family of Laguerre--Sobolev orthogonal polynomials associated with a Sobolev inner product arising from second--order boundary value problems on the semi--infinite inter…
math.CA2025
Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
Cleonice F. Bracciali, Karina S. Rampazzi, Luana L. Silva Ribeiro
We consider semiclassical orthogonal polynomials on the unit circle associated with a weight function that satisfy a Pearson-type differential equation involving two polynomials of…
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…