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A finite class of orthogonal functions generated by Routh-Romanovski polynomials, Complex Var

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Fourier transforms of orthogonal structures on the paraboloid

math.CA · 2025-09-05 · conditional · novelty 4.0

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.

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  • Fourier transforms of orthogonal structures on the paraboloid math.CA · 2025-09-05 · conditional · none · ref 21

    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.