Difference between revisions of "Weierstrass factorization theorem"
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Revision as of 04:28, 20 March 2015
Examples of Weierstrass factorizations
Theorem
The following formula holds: $$\sin(z) = z \displaystyle\prod_{k=1}^{\infty} \left( 1 - \dfrac{z^2}{k^2\pi^2} \right),$$ where $\sin$ denotes the sine function and $\pi$ denotes pi.
