Difference between revisions of "Logarithm at -i"
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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
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.1.15