The standard Legendre polynomials, defined in the interval [−1,1] are not normalized by the scalar product, but instead by setting P n (1)=1They are given by Rodriguez' formula

n≥1 i) By using this formula demonstrate that the first three polynomials are:

Transcribed Image Text:

Pn(x) = 1 d 2 m! dxn(x - 1)”. Po(x) = 1, P₁(x) = x, P₂(x) = (3x²-1). Pn(x) = 1 d 2 m! dxn(x - 1)”. Po(x) = 1, P₁(x) = x, P₂(x) = (3x²-1).

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Chriven Px putting P x putting 1 2 ... View the full answer