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http://functions.wolfram.com/01.31.16.0006.01
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E^(\[Alpha] ProductLog[z]) == z^\[Alpha]/ProductLog[z]^\[Alpha]
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Cell[BoxData[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[Alpha]", " ", RowBox[List["ProductLog", "[", "z", "]"]]]]], "\[Equal]", RowBox[List[SuperscriptBox["z", "\[Alpha]"], " ", SuperscriptBox[RowBox[List["ProductLog", "[", "z", "]"]], RowBox[List["-", "\[Alpha]"]]]]]]]]]
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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> <msup> <mi> ⅇ </mi> <mrow> <mi> α </mi> <mo> ⁢ </mo> <mrow> <mi> W </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </msup> <mo> ⩵ </mo> <mrow> <msup> <mi> z </mi> <mi> α </mi> </msup> <mo> ⁢ </mo> <msup> <mrow> <mi> W </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mrow> <mo> - </mo> <mi> α </mi> </mrow> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <exponentiale /> <apply> <times /> <ci> α </ci> <apply> <ci> W </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <ci> α </ci> </apply> <apply> <power /> <apply> <ci> W </ci> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> α </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["\[ExponentialE]", RowBox[List["\[Alpha]_", " ", RowBox[List["ProductLog", "[", "z_", "]"]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "\[Alpha]"], " ", SuperscriptBox[RowBox[List["ProductLog", "[", "z", "]"]], RowBox[List["-", "\[Alpha]"]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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