Difference between revisions of "Weierstrass factorization of sine"
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| − | <strong>[[Weierstrass factorization of sine|Proposition]]:</strong> The [[Weierstrass factorization]] of [[Sine|$\sin( | + | <strong>[[Weierstrass factorization of sine|Proposition]]:</strong> The [[Weierstrass factorization]] of [[Sine|$\sin(z)$]] is |
| − | $$\sin( | + | $$\sin(z) = z \displaystyle\prod_{k=1}^{\infty} \left( 1 - \dfrac{z^2}{k^2\pi^2} \right).$$ |
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<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
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Revision as of 21:47, 28 April 2016
Proposition: The Weierstrass factorization of $\sin(z)$ is $$\sin(z) = z \displaystyle\prod_{k=1}^{\infty} \left( 1 - \dfrac{z^2}{k^2\pi^2} \right).$$
Proof: █
