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Subfactorial




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Subfactorial[n] > Specific values > Values at fixed points





http://functions.wolfram.com/06.42.03.0049.01









  


  








Input Form





Subfactorial[19/2] == (352296253 I)/512 + (654729075 Sqrt[Pi] Erfc[I])/ (1024 E)








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Subfactorial", "[", FractionBox["19", "2"], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["352296253", " ", "\[ImaginaryI]"]], "512"], "+", FractionBox[RowBox[List["654729075", " ", SqrtBox["\[Pi]"], " ", RowBox[List["Erfc", "[", "\[ImaginaryI]", "]"]]]], RowBox[List["1024", " ", "\[ExponentialE]"]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> Subfactorial </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <mn> 19 </mn> <mn> 2 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mrow> <mfrac> <mrow> <mn> 352296253 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> <mn> 512 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 654729075 </mn> <mo> &#8290; </mo> <msqrt> <mi> &#960; </mi> </msqrt> <mo> &#8290; </mo> <mrow> <mi> erfc </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> &#8520; </mi> <mo> ) </mo> </mrow> </mrow> <mrow> <mn> 1024 </mn> <mo> &#8290; </mo> <mi> &#8519; </mi> </mrow> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Subfactorial </ci> <cn type='rational'> 19 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 352296253 </cn> <imaginaryi /> <apply> <power /> <cn type='integer'> 512 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 654729075 </cn> <apply> <power /> <pi /> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <ci> Erfc </ci> <imaginaryi /> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 1024 </cn> <exponentiale /> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Subfactorial", "[", FractionBox["19", "2"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["352296253", " ", "\[ImaginaryI]"]], "512"], "+", FractionBox[RowBox[List["654729075", " ", SqrtBox["\[Pi]"], " ", RowBox[List["Erfc", "[", "\[ImaginaryI]", "]"]]]], RowBox[List["1024", " ", "\[ExponentialE]"]]]]]]]]]


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





2007-05-02