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