# Category:Complex Powers

This category contains results about Complex Powers.
Definitions specific to this category can be found in Definitions/Complex Powers.

Let $z, k \in \C$ be any 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 and $\ln$ is the natural logarithm multifunction.

## Subcategories

This category has only the following subcategory.

## Pages in category "Complex Powers"

The following 4 pages are in this category, out of 4 total.