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math.CA2019
Non-homogeneous wave equation on a cone
Sheehan Olver, Yuan Xu
The wave equation is shown to have a unique solution if and its partial derivatives in are in on…
math.CA2019★ 4 cited
Orthogonal polynomials in and on a quadratic surface of revolution
Sheehan Olver, Yuan Xu
We present explicit constructions of orthogonal polynomials inside quadratic bodies of revolution, including cones, hyperboloids, and paraboloids. We also construct orthogonal poly…