Formula:KLS:09.08:92

<< Formula:KLS:09.08:91

formula in Jacobi: Special cases

Formula:KLS:09.08:93 >>

${\displaystyle{\displaystyle{\displaystyle\LegendrePoly{n}@{x}=\frac{(-1)^{n}}{2^{n}n!}\left(\frac{d}{dx}\right)^{n}\left[(1-x^{2})^{n}\right]}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : Legendre polynomial : http://dlmf.nist.gov/18.3#T1.t1.r25

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:91

formula in Jacobi: Special cases

Formula:KLS:09.08:93 >>