Definition:Stirling Numbers of the First Kind/Unsigned

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

Also defined as
Some sources do not introduce the signed Stirling numbers of the first Kind, and therefore refer to these as just the Stirling numbers of the first kind.

Also see

 * Equivalence of Definitions of Unsigned Stirling Numbers of the First Kind


 * Definition:Stirling's Triangles


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


 * Particular Values of Unsigned Stirling Numbers of the First Kind