Difference between revisions of "Logarithm at -i"

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(Created page with "==Theorem== The following formula holds: $$\log(-i)=-\dfrac{\pi i}{2},$$ where $\log$ denotes the logarithm, $i$ denotes the imaginary number, and $\pi$ denotes pi...")
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Revision as of 06:45, 4 June 2016

Theorem

The following formula holds: $$\log(-i)=-\dfrac{\pi i}{2},$$ where $\log$ denotes the logarithm, $i$ denotes the imaginary number, and $\pi$ denotes pi.

Proof

References