Logarithm at -i

From specialfunctionswiki
Revision as of 17:27, 27 June 2016 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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