Difference between revisions of "Logarithm at -i"
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| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm at i|next=E}}: 4.1.15 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm at i|next=E}}: $4.1.15$ |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 17:27, 27 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): $4.1.15$
