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Stirling2 - computes the Stirling numbers of the second kind
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Calling Sequence
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Stirling2(n, m)
combinat[stirling2](n, m)
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Description
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The Stirling2(n,m) command computes the Stirling numbers of the second kind from the well-known formula in terms of the binomial coefficients.
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Instead of Stirling2 you can also use the synonym combinat[stirling2].
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Regarding combinatorial functions,  is the number of ways of partitioning a set of n elements into m non-empty subsets. The Stirling numbers also enter binomial series, Mathieu function formulas, and are relevant in applications in Physics.
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Examples
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Stirling2 only evaluates to a number when  and  are positive integers
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![eval(Stirling2(n, m) = Sum(binomial(m, _k1)*_k1^n/(factorial(m)*(-1)^(-m+_k1)), _k1 = 0 .. m), [n = 10, m = 5])](/support/helpjp/helpview.aspx?si=7035/file00760/math95.png)
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