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 EllipticE

 http://functions.wolfram.com/08.04.20.0002.01

 Input Form

 D[EllipticE[z, m], {z, 2}] == -((m Sin[2 z])/(2 Sqrt[1 - m Sin[z]^2]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["z", ",", "2"]], "}"]]], RowBox[List["EllipticE", "[", RowBox[List["z", ",", "m"]], "]"]]]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["m", " ", RowBox[List["Sin", "[", RowBox[List["2", "z"]], "]"]]]], RowBox[List["2", SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox[RowBox[List["Sin", "[", "z", "]"]], "2"]]]]]]]]]]]]]]]

 MathML Form

 2 E ( z m ) z 2 - m sin ( 2 z ) 2 1 - m sin 2 ( z ) z 2 EllipticE z m -1 m 2 z 2 1 -1 m z 2 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["z_", ",", "2"]], "}"]]]]], RowBox[List["EllipticE", "[", RowBox[List["z_", ",", "m_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["m", " ", RowBox[List["Sin", "[", RowBox[List["2", " ", "z"]], "]"]]]], RowBox[List["2", " ", SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox[RowBox[List["Sin", "[", "z", "]"]], "2"]]]]]]]]]]]]]]]

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

 2001-10-29