Wikipedia:
Rodrigues' formula(disambiguation) |
Rodrigues' formula has two possible meanings:
- In geometry, short for Rodrigues' rotation formula.
- 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. In particular,
![P_n(x) = \frac{1}{a_n W(x)} \ \frac{d^n}{dx^n}\left(W(x)[Q(x)]^n\right)](http://content.answers.com/main/content/wp/en/math/e/7/a/e7af924eb2e4fc66235d403f4cf8a073.png)
for some functions W, Q, and constants
an.
Both of these were discovered by Olinde Rodrigues.
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