Orthogonal polynomials on the unit ball and fourth-order partial differential equations

DOI10.3842/SIGMA.2016.020zbMath1333.33020arXiv1511.07056OpenAlexW2276530767MaRDI QIDQ254666

Clotilde Martínez, Miguel A. Piñar

Publication date: 8 March 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07056

zbMATH Keywords

partial differential equationsunit ballmultivariate orthogonal polynomials

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (8)

The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ Asymptotic behaviour of the Christoffel functions on the unit ball in the presence of a mass on the sphere ⋮ Multivariate orthogonal polynomials and modified moment functionals ⋮ Perturbations of Christoffel-Darboux kernels: detection of outliers ⋮ Quasi-birth-and-death processes and multivariate orthogonal polynomials ⋮ Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle ⋮ Sobolev orthogonal polynomials of several variables on product domains ⋮ Three term relations for multivariate Uvarov orthogonal polynomials

Cites Work

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• Weighted Sobolev orthogonal polynomials on the unit ball
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• Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions
• THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials satisfying fourth order differential equations
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Orthogonal Polynomials of Several Variables
• Differential equations for generalized Jacobi polynomials

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