Orthogonal polynomials associated with the deltoid curve
Volume 147 / 2017
Colloquium Mathematicum 147 (2017), 1-34
MSC: 17B22, 33C52, 31C35, 35K05, 60J60, 60J45.
DOI: 10.4064/cm6564-12-2015
Published online: 14 November 2016
Abstract
We study a family of bivariate orthogonal polynomials associated to the deltoid curve. These polynomials arise when classifying bivariate diffusion operators that have discrete spectral decomposition given by orthogonal polynomials with respect to some compactly supported probability measure on the interior of the deltoid curve.
