# Category:Complex Powers

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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.

### E

## Pages in category "Complex Powers"

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