Difference between revisions of "Logarithm at minus 1"
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| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm diverges to negative infinity at 0 from right|next=Logarithm at i}}: 4.1.14 | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm diverges to negative infinity at 0 from right|next=Logarithm at i}}: $4.1.14$ |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 17:26, 27 June 2016
Theorem
The following formula holds: $$\log(-1)=\pi i,$$ where $\log$ denotes the logarithm, $\pi$ denotes pi, and $i$ denotes the imaginary number.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.14$
