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Results tagged with legendre-polynomials
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user 83671
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Integral formula involving Legendre polynomial
Using the relation
$$ P_n(x)=\frac{1}{2n+1}\left(P'_{n+1}(x)-P'_{n-1}(x)\right)$$
and integration by parts, we get for your integral the expression
$$ \frac{1}{2n+1}\left(-\int_{-1}^1 \frac{P_{n+1}(x) …
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