Logarithm at -i

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.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.15$