The finite Fourier transform of classical polynomials

Published 22 Feb 2014 in math.FA and math.CA | (1402.5544v1)

Abstract: The finite Fourier transform of a family of orthogonal polynomials $A_{n}(x)$, is the usual transform of the polynomial extended by $0$ outside their natural domain. Explicit expressions are given for the Legendre, Jacobi, Gegenbauer and Chebyshev families.

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