Difference between revisions of "Weierstrass factorization of sine"

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==References==
 
==References==
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[[Category:Theorem]]
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[[Category:Unproven]]

Latest revision as of 07:32, 8 June 2016

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.

Proof

References