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 EllipticE

 http://functions.wolfram.com/08.04.03.0007.01

 Input Form

 EllipticE[ArcSin[JacobiSN[z, m]], m] == Integrate[JacobiDN[t, m]^2, {t, 0, z}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["EllipticE", "[", RowBox[List[RowBox[List["ArcSin", "[", RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]], "]"]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "z"], RowBox[List[SuperscriptBox[RowBox[List["JacobiDN", "[", RowBox[List["t", ",", "m"]], "]"]], "2"], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]

 MathML Form

 E ( sin - 1 ( sn ( z m ) ) m ) 0 z dn ( t m ) 2 t EllipticE JacobiSN z m m t 0 z JacobiDN t m 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticE", "[", RowBox[List[RowBox[List["ArcSin", "[", RowBox[List["JacobiSN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "z"], RowBox[List[SuperscriptBox[RowBox[List["JacobiDN", "[", RowBox[List["t", ",", "m"]], "]"]], "2"], RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]

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

 2001-10-29