ProductLog[-1, -(1/E)] == -1

Cell[BoxData[RowBox[List[RowBox[List["ProductLog", "[", RowBox[List[RowBox[List["-", "1"]], ",", RowBox[List["-", FractionBox["1", "\[ExponentialE]"]]]]], "]"]], "\[Equal]", RowBox[List["-", "1"]]]]]]

<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> W </mi> <annotation encoding='Mathematica'> TagBox[&quot;W&quot;, ProductLog] </annotation> </semantics> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> ( </mo> <mrow> <mo> - </mo> <mfrac> <mn> 1 </mn> <mi> &#8519; </mi> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> ProductLog </ci> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <exponentiale /> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ProductLog", "[", RowBox[List[RowBox[List["-", "1"]], ",", RowBox[List["-", FractionBox["1", "\[ExponentialE]"]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", "1"]]]]]]

2007-05-02