Category:Definitions/Complex Powers
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This category contains definitions related to Complex Powers.
Related results can be found in Category:Complex Powers.
Let $z, k \in \C$ be complex numbers.
$z$ to the power of $k$ is defined as the multifunction:
- $z^k := e^{k \ln \paren z}$
where:
- $e^z$ is the exponential function
- $\ln$ is the natural logarithm multifunction.
Pages in category "Definitions/Complex Powers"
The following 7 pages are in this category, out of 7 total.
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- Definition:Power (Algebra)/Complex Number
- Definition:Power (Algebra)/Complex Number/Principal Branch
- Definition:Power (Algebra)/Complex Number/Principal Branch/Positive Real Base
- Definition:Power (Algebra)/Real Number/Complex
- Definition:Power to Complex Number
- Definition:Principal Branch of Complex Number