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 | | http://functions.wolfram.com/01.32.04.0009.01 | 
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 | | BranchCuts[ProductLog[k, z], z] == {{Interval[{-Infinity, 0}], -I}} /; 
 NotElement[k, {0, 1}] | 
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 | | Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BranchCuts", "[", RowBox[List[RowBox[List["ProductLog", "[", RowBox[List["k", ",", " ", "z"]], "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["{", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Infinity]"]], ",", "0"]], "}"]], "]"]], ",", RowBox[List["-", "\[ImaginaryI]"]]]], "}"]], "}"]]]], "/;", RowBox[List["k", "\[NotElement]", RowBox[List["{", RowBox[List["0", ",", "1"]], "}"]]]]]]]] | 
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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>  <mrow>  <msub>  <mi> ℬ𝒞 </mi>  <mi> z </mi>  </msub>  <mo> ( </mo>  <mrow>  <msub>  <mi> W </mi>  <mi> k </mi>  </msub>  <mo> ( </mo>  <mi> z </mi>  <mo> ) </mo>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⩵ </mo>  <mrow>  <mo> { </mo>  <mrow>  <mo> { </mo>  <mrow>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> ∞ </mi>  </mrow>  <mo> , </mo>  <mn> 0 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  </mrow>  <mo> } </mo>  </mrow>  <mo> } </mo>  </mrow>  </mrow>  <mo> /; </mo>  <mrow>  <mi> k </mi>  <mo> ∉ </mo>  <mrow>  <mo> { </mo>  <mrow>  <mn> 0 </mn>  <mo> , </mo>  <mn> 1 </mn>  </mrow>  <mo> } </mo>  </mrow>  </mrow>  </mrow>  <annotation-xml encoding='MathML-Content'>  <mrow>  <mrow>  <mrow>  <msub>  <mi> ℬ𝒞 </mi>  <mi> z </mi>  </msub>  <mo> ( </mo>  <mrow>  <msub>  <mi> W </mi>  <mi> k </mi>  </msub>  <mo> ( </mo>  <mi> z </mi>  <mo> ) </mo>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⩵ </mo>  <mrow>  <mo> { </mo>  <mrow>  <mo> { </mo>  <mrow>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mo> - </mo>  <mi> ∞ </mi>  </mrow>  <mo> , </mo>  <mn> 0 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mi> ⅈ </mi>  </mrow>  </mrow>  <mo> } </mo>  </mrow>  <mo> } </mo>  </mrow>  </mrow>  <mo> /; </mo>  <mrow>  <mi> k </mi>  <mo> ∉ </mo>  <mrow>  <mo> { </mo>  <mrow>  <mn> 0 </mn>  <mo> , </mo>  <mn> 1 </mn>  </mrow>  <mo> } </mo>  </mrow>  </mrow>  </mrow>  </annotation-xml>  </semantics>  </math> 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BranchCuts", "[", RowBox[List[RowBox[List["ProductLog", "[", RowBox[List["k_", ",", "z_"]], "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["{", RowBox[List["{", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Infinity]"]], ",", "0"]], "}"]], "]"]], ",", RowBox[List["-", "\[ImaginaryI]"]]]], "}"]], "}"]], "/;", RowBox[List["k", "\[NotElement]", RowBox[List["{", RowBox[List["0", ",", "1"]], "}"]]]]]]]]]] | 
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 | | Date Added to functions.wolfram.com (modification date) | 
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