Rodrigues' formula

Rodrigues' formula

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 ight)

for some functions "W", "Q", and constants "a""n".

Both of these were discovered by Olinde Rodrigues.


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