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.
Fourier transform, quantum mechanics and quantum field theory on the manifold of general relativity, Eur
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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.