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 InverseJacobiSN

 http://functions.wolfram.com/09.48.27.0006.01

 Input Form

 InverseJacobiSN[z, m] == EllipticK[m] - (1/Sqrt[m]) InverseJacobiDC[z, 1/m] /; z > 1 && m > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["InverseJacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["EllipticK", "[", "m", "]"]], "-", RowBox[List[FractionBox[RowBox[List["1", " "]], SqrtBox["m"]], RowBox[List["InverseJacobiDC", "[", RowBox[List["z", ",", FractionBox["1", "m"]]], "]"]]]]]]]], "/;", RowBox[List[RowBox[List["z", ">", "1"]], "\[And]", RowBox[List["m", ">", "1"]]]]]]]]

 MathML Form

 sn - 1 ( z m ) K ( m ) - 1 m dc - 1 ( z 1 m ) /; z > 1 m > 1 Condition InverseJacobiSN z m EllipticK m -1 1 m 1 2 -1 InverseJacobiDC z 1 m -1 z 1 m 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiSN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["EllipticK", "[", "m", "]"]], "-", FractionBox[RowBox[List["InverseJacobiDC", "[", RowBox[List["z", ",", FractionBox["1", "m"]]], "]"]], SqrtBox["m"]]]], "/;", RowBox[List[RowBox[List["z", ">", "1"]], "&&", RowBox[List["m", ">", "1"]]]]]]]]]]

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

 2001-10-29