Orthogonal polynomials and partial differential equations on the unit ball
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Publication:3395570
DOI10.1090/S0002-9939-09-09932-8zbMath1178.33009arXiv0712.3091OpenAlexW2065084852MaRDI QIDQ3395570
Publication date: 11 September 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.3091
Other functions coming from differential, difference and integral equations (33E30) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
Related Items (11)
The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ On Sobolev orthogonal polynomials on a triangle ⋮ New steps on Sobolev orthogonality in two variables ⋮ Weighted Sobolev orthogonal polynomials on the unit ball ⋮ Best Polynomial Approximation on the Unit Sphere and the Unit Ball ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals ⋮ On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions ⋮ On Sobolev orthogonal polynomials ⋮ Sobolev orthogonal polynomials of several variables on product domains ⋮ The radial part of a class of Sobolev polynomials on the unit ball
Cites Work
- A family of Sobolev orthogonal polynomials on the unit ball
- Sobolev orthogonal polynomials defined via gradient on the unit ball
- Sobolev orthogonality for the Gegenbauer polynomials \(\{ C_n^{-N+1/2}\}_{n\geq 0}\)
- Sobolev orthogonal polynomials: The discrete-continuous case
- Orthogonality of the Jacobi polynomials with negative integer parameters
- Solving the nonlinear Poisson equation on the unit disk
- Sobolev orthogonal polynomials in two variables and second order partial differential equations
- Orthogonal polynomials in two variables
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