3 papers
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.CA2023
Lax-type pairs in the theory of bivariate orthogonal polynomials
Amílcar Branquinho, Ana Foulquié-Moreno, Teresa E. Pérez +1
Sequences of bivariate orthogonal polynomials written as vector polynomials of increasing size satisfy a couple of three term relations with matrix coefficients. In this work, intr…
math.CA2023
Centrosymmetric and reverse matrices in bivariate orthogonal polynomials
Cleonice F. Bracciali, Glalco S. Costa, Teresa E. Pérez
We introduce the concept of reflexive moment functional in two variables and the definition of reflexive orthogonal polynomial system. Also reverse matrices and their interesting a…