Difference between revisions of "Weierstrass factorization of sinh"

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Revision as of 01:47, 17 April 2015

Theorem: The Weierstrass factorization of $\sinh(x)$ is $$\sinh(x)=x\displaystyle\prod_{k=1}^{\infty} 1 + \dfrac{x^2}{k^2\pi^2}.$$

Proof: