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Subfactorial




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/06.42.03.0021.01









  


  








Input Form





Subfactorial[-(9/2)] == (22 I)/35 + (16 Sqrt[Pi] Erfc[I])/(105 E)








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Subfactorial", "[", RowBox[List["-", FractionBox["9", "2"]]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["22", " ", "\[ImaginaryI]"]], "35"], "+", FractionBox[RowBox[List["16", " ", SqrtBox["\[Pi]"], " ", RowBox[List["Erfc", "[", "\[ImaginaryI]", "]"]]]], RowBox[List["105", " ", "\[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> <mrow> <mo> - </mo> <mfrac> <mn> 9 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mrow> <mfrac> <mrow> <mn> 22 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> <mn> 35 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 16 </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> 105 </mn> <mo> &#8290; </mo> <mi> &#8519; </mi> </mrow> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Subfactorial </ci> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 9 <sep /> 2 </cn> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 22 </cn> <imaginaryi /> <apply> <power /> <cn type='integer'> 35 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16 </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'> 105 </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", "[", RowBox[List["-", FractionBox["9", "2"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["22", " ", "\[ImaginaryI]"]], "35"], "+", FractionBox[RowBox[List["16", " ", SqrtBox["\[Pi]"], " ", RowBox[List["Erfc", "[", "\[ImaginaryI]", "]"]]]], RowBox[List["105", " ", "\[ExponentialE]"]]]]]]]]]


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





2007-05-02