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 InverseJacobiCN

 http://functions.wolfram.com/09.38.27.0005.01

 Input Form

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

 Standard Form

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

 MathML Form

 cn - 1 ( z m ) 1 m dn - 1 ( z 1 m ) /; - 1 < z < 1 m < 1 Condition InverseJacobiCN z m 1 m 1 2 -1 InverseJacobiDN z 1 m -1 -1 z 1 m 1 [/itex]

 Rule Form

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

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

 2001-10-29