Centrosymmetric and reverse matrices in bivariate orthogonal polynomials
Classical Analysis and ODEs
2023-10-13 v1
Abstract
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 algebraic properties are studied. Reverse matrices and reflexive polynomial systems are directly connected in the context of bivariate orthogonal polynomials. Centrosymmetric matrices, reverse matrices and their connections with reflexive orthogonal polynomial systems are presented. Finally, several particular cases and examples are analysed.
Cite
@article{arxiv.2310.08239,
title = {Centrosymmetric and reverse matrices in bivariate orthogonal polynomials},
author = {Cleonice F. Bracciali and Glalco S. Costa and Teresa E. Pérez},
journal= {arXiv preprint arXiv:2310.08239},
year = {2023}
}
Comments
24 pages