Difference between revisions of "Period of cosh"

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Latest revision as of 18:14, 7 August 2016

Theorem

The following formula holds for all $k \in \mathbb{Z}$: $$\cosh(z+2\pi i k)=\cosh(z),$$ where $\cosh$ denotes the hyperbolic cosine, $\pi$ denotes pi, and $i$ denotes the imaginary number.

Proof

References