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 InverseJacobiND

 http://functions.wolfram.com/09.44.04.0003.01

 Input Form

 InverseJacobiND[-z, m] == InverseJacobiND[z, m] + 2 I EllipticF[ArcSin[z], 1 - m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["InverseJacobiND", "[", RowBox[List[RowBox[List["-", "z"]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["InverseJacobiND", "[", RowBox[List["z", ",", "m"]], "]"]], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], ",", RowBox[List["1", "-", "m"]]]], "]"]]]]]]]]]]

 MathML Form

 nd - 1 ( - z m ) 2 F ( sin - 1 ( z ) 1 - m ) + nd - 1 ( z m ) InverseJacobiND -1 z m 2 EllipticF z 1 -1 m InverseJacobiND z m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiND", "[", RowBox[List[RowBox[List["-", "z_"]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["InverseJacobiND", "[", RowBox[List["z", ",", "m"]], "]"]], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], ",", RowBox[List["1", "-", "m"]]]], "]"]]]]]]]]]]

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

 2001-10-29