Definition:Periodic Function/Complex
< Definition:Periodic Function(Redirected from Definition:Periodic Complex Function)
Jump to navigation
Jump to search
Definition
Let $f: \C \to \C$ be a complex function.
Then $f$ is periodic if and only if:
- $\exists L \in \C_{\ne 0}: \forall x \in \C: \map f x = \map f {x + L}$
Also see
- General Periodicity Property: after every distance $L$, the function $f$ repeats itself.
- Results about periodic functions can be found here.