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 JacobiNC

 http://functions.wolfram.com/09.31.03.0016.01

 Input Form

 JacobiNC[3 EllipticK[m] + I EllipticK[1 - m], m] == (-I) (Sqrt[m]/Sqrt[1 - m])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiNC", "[", RowBox[List[RowBox[List[RowBox[List["3", RowBox[List["EllipticK", "[", "m", "]"]]]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", FractionBox[SqrtBox["m"], SqrtBox[RowBox[List["1", "-", "m"]]]]]]]]]]

 MathML Form

 nc ( 3 K ( m ) + K ( 1 - m ) m ) - m 1 - m JacobiNC 3 EllipticK m EllipticK 1 -1 m m -1 m 1 2 1 -1 m 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiNC", "[", RowBox[List[RowBox[List[RowBox[List["3", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m_"]], "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", SqrtBox["m"]]], SqrtBox[RowBox[List["1", "-", "m"]]]]]]]]]]

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

 2001-10-29