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 InverseJacobiNC

 http://functions.wolfram.com/09.43.27.0007.01

 Input Form

 InverseJacobiNC[z, m] == (-(1/Sqrt[m - 1])) InverseJacobiDN[z, 1/(1 - m)] /; -1 < z < 1 && 0 < m < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["InverseJacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox["1", SqrtBox[RowBox[List["m", "-", "1"]]]]]], RowBox[List["InverseJacobiDN", "[", RowBox[List["z", ",", FractionBox["1", RowBox[List["1", "-", "m"]]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "1"]], "\[And]", RowBox[List["0", "<", "m", "<", "1"]]]]]]]]

 MathML Form

 nc - 1 ( z m ) - 1 m - 1 dn - 1 ( z 1 1 - m ) /; - 1 < z < 1 0 < m < 1 Condition InverseJacobiNC z m -1 1 m -1 1 2 -1 InverseJacobiDN z 1 1 -1 m -1 -1 z 1 0 m 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiNC", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["InverseJacobiDN", "[", RowBox[List["z", ",", FractionBox["1", RowBox[List["1", "-", "m"]]]]], "]"]], SqrtBox[RowBox[List["m", "-", "1"]]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "1"]], "&&", RowBox[List["0", "<", "m", "<", "1"]]]]]]]]]]

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

 2001-10-29