Difference between revisions of "Logarithm of exponential"
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| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm (multivalued) of the exponential|next=}}: | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm (multivalued) of the exponential|next=Exponential of logarithm}}: 4.2.3 |
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Latest revision as of 21:00, 6 June 2016
Theorem
The following formula holds for $-\pi < \mathrm{Im}(z) \leq \pi$: $$\log(\exp(z))=z,$$ where $\log$ denotes the logarithm and $\exp$ denotes the exponential.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.2.3
