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 InverseJacobiND

 http://functions.wolfram.com/09.44.03.0005.01

 Input Form

 InverseJacobiND[-(1/2), m] == I (EllipticF[Pi/6, 1 - m] + EllipticK[1 - m])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["InverseJacobiND", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["EllipticF", "[", RowBox[List[FractionBox["\[Pi]", "6"], ",", RowBox[List["1", "-", "m"]]]], "]"]], "+", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 nd - 1 ( - 1 2 m ) ( F ( π 6 1 - m ) + K ( 1 - m ) ) InverseJacobiND -1 1 2 m EllipticF 6 -1 1 -1 m EllipticK 1 -1 m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["InverseJacobiND", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["EllipticF", "[", RowBox[List[FractionBox["\[Pi]", "6"], ",", RowBox[List["1", "-", "m"]]]], "]"]], "+", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]], ")"]]]]]]]]

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

 2001-10-29