Shirali, Shailesh
(2018)
Stirling set numbers & powers of integers.
At Right Angles, 71 (1).
pp. 2632.
Abstract
This article introduces a remarkable class of combinatorial
numbers, the Stirling set numbers. They are also known as
Stirling numbers of the second kind. (In the literature, you will
find many references to this term. Note that there are also
Stirling numbers of the first kind.) However, we shall not use this name; the name ‘Stirling set number’ seems more natural. These numbers are named after the 18thcentury Scottish mathematician James Stirling, and they are the natural counterparts of the binomial coefficients. Some readers may recall the name ‘Stirling’. Indeed, it is the same Stirling whose name features in “Stirling’s approximation for the factorial function.”
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