Orthogonal polynomials in and on a quadratic surface of revolution

25 Jun 2019Sheehan OlverYuan Xu

We present explicit constructions of orthogonal polynomials inside quadratic bodies of revolution, including cones, hyperboloids, and paraboloids. We also construct orthogonal polynomials on the surface of quadratic surfaces of revolution, generalizing spherical harmonics to the surface of a cone, hyperboloid, and paraboloid... (read more)

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