Definition:Stirling Numbers

Definition
Stirling numbers come in various forms.

In the below, $$n$$ and $$k$$ are always non-negative integers.

Karamata Notation
The notation $$\left[{n \atop k}\right]$$ and $$\left\{{n \atop k}\right\}$$ is known as Karamata notation, after Jovan Karamata.