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Needs:
Complex Numbers
Real Functions
Needed by:
Complex Analytic Functions
Complex Integrals
Complex Rational Functions
Holomorphic Functions
Links:
Sheet PDF
Graph PDF

Complex Functions

Why

We name functions whose domain is the complex numbers.

Definition

A complex function is a complex-valued function.1

Notation

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


  1. Future editions will expand the discussion, and likely motivate the definition via the genetic approach. ↩︎
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