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 InverseJacobiDC

 http://functions.wolfram.com/09.40.03.0002.01

 Input Form

 InverseJacobiDC[z, 1/2] == Sqrt[2] (EllipticK[2] - EllipticF[ArcSin[z], 2]) /; z > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["InverseJacobiDC", "[", RowBox[List["z", ",", FractionBox["1", "2"]]], "]"]], "\[Equal]", RowBox[List[SqrtBox["2"], " ", RowBox[List["(", RowBox[List[RowBox[List["EllipticK", "[", "2", "]"]], "-", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], ",", "2"]], "]"]]]], ")"]]]]]], "/;", RowBox[List["z", ">", "1"]]]]]]

 MathML Form

 dc - 1 ( z 1 2 ) 2 ( K ( 2 ) - F ( sin - 1 ( z ) 2 ) ) /; z > 1 Condition InverseJacobiDC z 1 2 2 1 2 EllipticK 2 -1 EllipticF z 2 z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiDC", "[", RowBox[List["z_", ",", FractionBox["1", "2"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SqrtBox["2"], " ", RowBox[List["(", RowBox[List[RowBox[List["EllipticK", "[", "2", "]"]], "-", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], ",", "2"]], "]"]]]], ")"]]]], "/;", RowBox[List["z", ">", "1"]]]]]]]]

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

 2001-10-29