Fourier transforms of Jacobi and Laguerre polynomials on the paraboloid are computed explicitly and used to build new multivariate orthogonal function families expressed through continuous Hahn polynomials.
Orthogonal polynomials of several variables, 2nd ed
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Fourier transforms of orthogonal structures on the paraboloid
Fourier transforms of Jacobi and Laguerre polynomials on the paraboloid are computed explicitly and used to build new multivariate orthogonal function families expressed through continuous Hahn polynomials.