Definition:Stirling Numbers/Historical Note

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Historical Note on Stirling Numbers

This formula for the Stirling numbers of the second kind:

$\displaystyle x^n = \sum_k {n \brace k} x^{\underline k}$

was the reason James Stirling started his studies of the Stirling numbers in the first place.

They were studied in detail in his Methodus Differentialis of $1730$.