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http://functions.wolfram.com/06.34.03.0017.01
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ExpIntegralE[z, -1] == (-E) (-1)^z Subfactorial[-z]
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Cell[BoxData[RowBox[List[RowBox[List["ExpIntegralE", "[", RowBox[List["z", ",", RowBox[List["-", "1"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "\[ExponentialE]"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "z"], RowBox[List["Subfactorial", "[", RowBox[List["-", "z"]], "]"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <semantics> <mi> E </mi> <annotation encoding='Mathematica'> TagBox["E", ExpIntegralE] </annotation> </semantics> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mrow> <mo> - </mo> <mi> ⅇ </mi> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mi> z </mi> </msup> <mo> ⁢ </mo> <mrow> <mi> Subfactorial </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mo> - </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> ExpIntegralE </ci> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <exponentiale /> </apply> <apply> <power /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <apply> <ci> Subfactorial </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ExpIntegralE", "[", RowBox[List["z_", ",", RowBox[List["-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", "\[ExponentialE]"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "z"], " ", RowBox[List["Subfactorial", "[", RowBox[List["-", "z"]], "]"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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