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 InverseJacobiDS

 http://functions.wolfram.com/09.42.03.0002.01

 Input Form

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

 Standard Form

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

 MathML Form

 ds - 1 ( z 1 2 ) 2 F ( sin - 1 ( 1 2 z ) - 1 ) /; z > 1 Condition InverseJacobiDS z 1 2 2 1 2 EllipticF 1 2 1 2 z -1 -1 z 1 [/itex]

 Rule Form

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

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

 2001-10-29