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 DedekindEta

 http://functions.wolfram.com/09.49.03.0001.01

 Input Form

 DedekindEta[I] == ((1/2) EllipticThetaPrime[1, 0, E^(-Pi)])^(1/3)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["DedekindEta", "[", "\[ImaginaryI]", "]"]], "\[Equal]", SuperscriptBox[RowBox[List["(", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["EllipticThetaPrime", "[", RowBox[List["1", ",", "0", ",", SuperscriptBox["\[ExponentialE]", RowBox[List["-", "\[Pi]"]]]]], "]"]]]], ")"]], RowBox[List["1", "/", "3"]]]]]]]

 MathML Form

 η ( ) TagBox[RowBox[List["\[Eta]", "(", TagBox["\[ImaginaryI]", Rule[Editable, True]], ")"]], InterpretTemplate[Function[DedekindEta[Slot[1]]]]] 1 2 ϑ 1 ( 0 , - π ) 3 DedekindEta 1 2 1 Subscript ϑ 1 0 -1 1 3 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DedekindEta", "[", "\[ImaginaryI]", "]"]], "]"]], "\[RuleDelayed]", SuperscriptBox[RowBox[List["(", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["EllipticThetaPrime", "[", RowBox[List["1", ",", "0", ",", SuperscriptBox["\[ExponentialE]", RowBox[List["-", "\[Pi]"]]]]], "]"]]]], ")"]], RowBox[List["1", "/", "3"]]]]]]]

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

 2001-10-29