Rodrigues' formula
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Rodrigues' formula has two possible meanings:
- A formula for producing a series of expressions by repeated differentiation of some other functions. A typical application is in producing a series of orthogonal polynomials: Pn(x) is proportional to
![\frac{1}{W(x)} \ \frac{d^n}{dx^n}\left(W(x)[Q(x)]^n\right)](../../../math/3/9/1/3918d0b9536540fbeecf695a34d5b28f.png)
for some functions W and Q. - In geometry, short for Rodrigues' rotation formula.
Both of these were discovered by Olinde Rodrigues.
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