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StirlingS1




Mathematica Notation

Traditional Notation









Integer Functions > StirlingS1[n,m] > Limit representations





http://functions.wolfram.com/04.14.09.0001.01









  


  








Input Form





StirlingS1[n, m] == (-1)^(n - 1) Limit[(1/(a^m Gamma[1 - a])) HypergeometricPFQ[{a, Subscript[a, 1], Subscript[a, 2], \[Ellipsis], Subscript[a, m]}, {1 + Subscript[a, 1], 1 + Subscript[a, 2], \[Ellipsis], 1 + Subscript[a, m]}, 1], a -> n] /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, m] == a && Element[m, Integers] && m > 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29