Definition:Complex Function
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 $f \left({z}\right) = w$.
Then $z$ is referred to as an independent variable (of $f$).
Dependent Variable
Let $f: \C \to \C$ be a complex function.
Let $f \left({z}\right) = w$.
Then $w$ is referred to as the dependent variable (of $f$).
Also see
- Results about Complex Functions can be found here.
Sources
- 1964: Murray R. Spiegel: Theory and Problems of Complex Variables ... (previous) ... (next): $2$: Variables and Functions