Explicit orthogonal polynomials are constructed inside and on quadratic surfaces of revolution, generalizing spherical harmonics for cubature and approximation.
Koornwinder, Two-variable analogues of the classical orthogonal polynomials, in Theory and applications of special functions , 435–495, ed
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Orthogonal polynomials in and on a quadratic surface of revolution
Explicit orthogonal polynomials are constructed inside and on quadratic surfaces of revolution, generalizing spherical harmonics for cubature and approximation.