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 WeierstrassZetaHalfPeriodValues

 http://functions.wolfram.com/09.21.03.0003.01

 Input Form

 WeierstrassZetaHalfPeriodValues[WeierstrassInvariants[ {Subscript[\[Omega], 1], ComplexInfinity}]][[1]] == Pi^2/(12 Subscript[\[Omega], 1])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["WeierstrassZetaHalfPeriodValues", "[", RowBox[List["WeierstrassInvariants", "[", RowBox[List["{", RowBox[List[SubscriptBox["\[Omega]", "1"], ",", "ComplexInfinity"]], "}"]], "]"]], "]"]], "[", RowBox[List["[", "1", "]"]], "]"]], "\[Equal]", FractionBox[SuperscriptBox["\[Pi]", "2"], RowBox[List["12", " ", SubscriptBox["\[Omega]", "1"]]]]]]]]

 MathML Form

 η 1 ( g 2 ( ω 1 , ~ ) , g 3 ( ω 1 , ~ ) ) π 2 12 ω 1 Subscript η 1 Subscript g 2 Subscript ω 1 OverTilde Subscript g 3 Subscript ω 1 OverTilde 2 12 Subscript ω 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["WeierstrassZetaHalfPeriodValues", "[", RowBox[List["WeierstrassInvariants", "[", RowBox[List["{", RowBox[List[SubscriptBox["\[Omega]_", "1"], ",", "ComplexInfinity"]], "}"]], "]"]], "]"]], "\[LeftDoubleBracket]", "1", "\[RightDoubleBracket]"]], "]"]], "\[RuleDelayed]", FractionBox[SuperscriptBox["\[Pi]", "2"], RowBox[List["12", " ", SubscriptBox["\[Omega]\[Omega]", "1"]]]]]]]]

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

 2001-10-29