how to solve this legendre polynomals

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Mohmmadsoaib Diwan 2015-5-12

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关闭： Walter Roberson 2015-5-12

The first three Legendre polynomials are P0(x) = 1, P1(x) = x, and P2(x) = (3x2−1)/2. There is a general recurrence formula for Legendre polynomials, by which they are defined recursively: (n + 1)Pn+1(x)=(2n + 1)xPn(x) - nPn-1(x)

Define a recursive function p(n,x) to generate Legendre polynomials, given the form of P0 and P1. Use your function to compute p(2,x) for a few values of x, and compare your results with those using the analytic form of P2(x) given above.