# Definition:Complex Function

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## Definition

A complex function is a function whose domain and codomain are subsets of the set of complex numbers $\C$.

### Independent Variable

Let $f: \C \to \C$ be a complex function.

Let $\map f z = w$.

Then $z$ is referred to as an independent variable (of $f$).

### Dependent Variable

Let $f: \C \to \C$ be a complex function.

Let $\map f z = w$.

Then $w$ is referred to as the dependent variable (of $f$).

## Also see

• Results about Complex Functions can be found here.