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 JacobiDC

 http://functions.wolfram.com/09.28.16.0026.01

 Input Form

 JacobiDC[z + EllipticK[m] - I EllipticK[1 - m], m] == (-Sqrt[m]) JacobiSN[z, m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiDC", "[", RowBox[List[RowBox[List["z", "+", RowBox[List["EllipticK", "[", "m", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", SqrtBox["m"]]], RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

 MathML Form

 dc ( z - K ( 1 - m ) + K ( m ) m ) - m sn ( z m ) JacobiDC z -1 EllipticK 1 -1 m EllipticK m m -1 m 1 2 JacobiSN z m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiDC", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List["EllipticK", "[", "m_", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m_"]], "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", SqrtBox["m"]]], " ", RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

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

 2007-05-02

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