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Fourier-Legendre series

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Fourier-Legendre series [‚fu̇r·ē‚ā lə′zhän·drə ‚sir·ēz]
(mathematics)
Given a function ƒ(x), the series fromn= 0 to infinity ofanPn(x), wherePn(x),n=0, 1, 2, …, are the Legendre polynomials, andanis the product of (2n + 1)/2 and the integral overxfrom -1 to 1 of ƒ(x)Pn(x).
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