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 InverseJacobiSD

 http://functions.wolfram.com/09.47.03.0009.01

 Input Form

 InverseJacobiSD[I, m] == (I/Sqrt[m]) EllipticF[ArcSin[Sqrt[m]], (-1 + m)/m] /; m < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["InverseJacobiSD", "[", RowBox[List["\[ImaginaryI]", ",", "m"]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[ImaginaryI]", SqrtBox["m"]], " ", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", SqrtBox["m"], "]"]], ",", FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", "m"]], "m"]]], "]"]]]]]], "/;", RowBox[List["m", "<", "1"]]]]]]

 MathML Form

 sd - 1 ( m ) m F ( sin - 1 ( m ) m - 1 m ) /; m < 1 Condition InverseJacobiSD m m 1 2 -1 EllipticF m 1 2 m -1 m -1 m 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiSD", "[", RowBox[List["\[ImaginaryI]", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", SqrtBox["m"], "]"]], ",", FractionBox[RowBox[List[RowBox[List["-", "1"]], "+", "m"]], "m"]]], "]"]]]], SqrtBox["m"]], "/;", RowBox[List["m", "<", "1"]]]]]]]]

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

 2001-10-29