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Subfactorial






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/06.42.06.0005.01









  


  










Input Form





Subfactorial[z] \[Proportional] ((-1)^z/z) (1 - 2/z + 5/z^2 + O[1/z^3]) + Sqrt[2 Pi] Sqrt[z] z^z E^(-z - 1) (1 + 1/(12 z) + 1/(288 z^2) + O[1/z^3]) /; (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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