Legendre's differential equation
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English
[edit]
Etymology
[edit]Named after French mathematician Adrien-Marie Legendre (1752–1833).
Proper noun
[edit]Legendre's differential equation
- (mathematics) The equation that defines the Legendre polynomials:
![{\displaystyle {d \over dx}\left[(1-x^{2}){d \over dx}P_{n}(x)\right]+n(n+1)P_{n}(x)=0.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bd51c7228067db4bea119843fb19c6caab834954)