Difference between revisions of "Logarithm of exponential"
From specialfunctionswiki
(Created page with "==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]...") |
|||
| Line 7: | Line 7: | ||
==References== | ==References== | ||
| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm (multivalued) of the exponential|next=}}: 3.3. | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Logarithm (multivalued) of the exponential|next=Exponential of logarithm}}: 3.3.4 |
| + | |||
| + | [[Category:Theorem]] | ||
Revision as of 20:51, 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): 3.3.4
