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 EllipticE

 http://functions.wolfram.com/08.04.07.0001.01

 Input Form

 EllipticE[z, m] == Integrate[Sqrt[1 - m Sin[t]^2], {t, 0, z}] /; -(Pi/2) <= z <= Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EllipticE", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "z"], RowBox[List[SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox[RowBox[List["Sin", "[", "t", "]"]], "2"]]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "/;", " ", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "\[LessEqual]", "z", "\[LessEqual]", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 E ( z m ) 0 z 1 - m sin 2 ( t ) t /; - π 2 z π 2 Condition EllipticE z m t 0 z 1 -1 m t 2 1 2 -1 2 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticE", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "z"], RowBox[List[SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox[RowBox[List["Sin", "[", "t", "]"]], "2"]]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "/;", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "\[LessEqual]", "z", "\[LessEqual]", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2001-10-29