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Subfactorial






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Subfactorial[n] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/06.42.06.0006.01









  


  










Input Form





Subfactorial[z] \[Proportional] (1/(E z)) ((-1)^z Sum[(-1)^k/z^k, {k, 0, Infinity}] + z z! + (-1)^z Sum[((-1)^k (2 + j)^k)/(z^k (1 + j)!), {k, 0, Infinity}, {j, 0, Infinity}]) /; (Abs[z] -> Infinity)










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)





2007-05-02





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