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 InverseJacobiSN

 http://functions.wolfram.com/09.48.27.0011.01

 Input Form

 InverseJacobiSN[z, m] == I InverseJacobiND[z, 1 - m] + EllipticK[m] /; Element[z, Reals] && Element[m, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["InverseJacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["InverseJacobiND", "[", RowBox[List["z", ",", RowBox[List["1", "-", "m"]]]], "]"]]]], "+", RowBox[List["EllipticK", "[", "m", "]"]]]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["m", "\[Element]", "Reals"]]]]]]]]

 MathML Form

 sn - 1 ( z m ) K ( m ) + nd - 1 ( z 1 - m ) /; z TagBox["\[DoubleStruckCapitalR]", Function[Reals]] m TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition InverseJacobiSN z m EllipticK m InverseJacobiND z 1 -1 m z m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiSN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["InverseJacobiND", "[", RowBox[List["z", ",", RowBox[List["1", "-", "m"]]]], "]"]]]], "+", RowBox[List["EllipticK", "[", "m", "]"]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["m", "\[Element]", "Reals"]]]]]]]]]]

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

 2001-10-29