Definition:Stirling Numbers of the First Kind/Signed

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

Also see

 * Equivalence of Definitions of Stirling Numbers of the First Kind


 * Definition:Stirling's Triangles


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