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 JacobiCN

 http://functions.wolfram.com/09.26.03.0013.01

 Input Form

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

 Standard Form

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

 MathML Form

 cn ( K ( m ) + K ( 1 - m ) m ) - 1 - m m JacobiCN EllipticK m EllipticK 1 -1 m m -1 1 -1 m 1 2 m 1 2 -1 [/itex]

 Rule Form

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

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

 2001-10-29