2017/05/25 by Clotilde Martínez, Martínez, Clotilde, Miguel A. Piñar +1
Engineering · Mathematics · Physics and Astronomy · #33C50 #42C10 #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Material Science and Thermodynamics #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.1705.10193
openalex publication_date 2017/05/25 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We present a family of mutually orthogonal polynomials on the unit ball with\nrespect to an inner product which includes a mass uniformly distributed on the\nsphere. First, connection formulas relating these multivariate orthogonal\npolynomials and the classical ball polynomials are obtained. Then, using the\nrepresentation formula for these polynomials in terms of spherical harmonics\nanalytic properties will be deduced. Finally, we analyze the asymptotic\nbehaviour of the Christoffel functions.\n