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.
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $2$: Functions, Limits and Continuity: Variables and Functions
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): function of a complex variable
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): complex function