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variants of this functions
ProductLog




Mathematica Notation

Traditional Notation









Elementary Functions > ProductLog[k,z] > Representations through equivalent functions > With inverse function





http://functions.wolfram.com/01.32.27.0001.01









  


  








Input Form





E^ProductLog[k, z] ProductLog[k, z] == z








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["ProductLog", "[", RowBox[List["k", ",", "z"]], "]"]]], " ", RowBox[List["ProductLog", "[", RowBox[List["k", ",", "z"]], "]"]]]], "\[Equal]", "z"]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> &#8519; </mi> <mrow> <msub> <mi> W </mi> <mi> k </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </msup> <mo> &#8290; </mo> <mrow> <msub> <mi> W </mi> <mi> k </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> &#10869; </mo> <mi> z </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <apply> <ci> Subscript </ci> <ci> W </ci> <ci> k </ci> </apply> <ci> z </ci> </apply> </apply> <apply> <apply> <ci> Subscript </ci> <ci> W </ci> <ci> k </ci> </apply> <ci> z </ci> </apply> </apply> <ci> z </ci> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["ProductLog", "[", RowBox[List["k_", ",", "z_"]], "]"]]], " ", RowBox[List["ProductLog", "[", RowBox[List["k_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", "z"]]]]


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





2001-10-29