Orthogonal polynomials associated with the deltoid curve

Olfa Zribi (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

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.

Mots clés: orthogonal polynomials; diffusion processes; deltoid; root systems

Domaines: Probabilités [math.PR]

Olfa Zribi. Orthogonal polynomials associated with the deltoid curve. Colloquium Mathematicum, 2017, 147 (1), pp.1-34. ⟨10.4064/cm6564-12-2015⟩. ⟨hal-00967630⟩