Definition:Stirling Numbers of the First Kind

Definition
Stirling numbers of the first kind come in two forms.

In the below:
 * $\delta_{n k}$ is the Kronecker delta
 * $n$ and $k$ are non-negative integers.

Also see

 * Definition:Stirling's Triangles


 * Definition:Stirling Numbers of the Second Kind
 * Definition:Pascal's Triangle


 * Particular Values of Unsigned Stirling Numbers of the First Kind
 * Particular Values of Signed Stirling Numbers of the First Kind