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 JacobiDC

 http://functions.wolfram.com/09.28.16.0024.01

 Input Form

 JacobiDC[z + 3 I EllipticK[1 - m], m] == Sqrt[m] JacobiCD[z, m] /; Element[s, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["JacobiDC", "[", RowBox[List[RowBox[List["z", "+", RowBox[List["3", "\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[SqrtBox["m"], RowBox[List["JacobiCD", "[", RowBox[List["z", ",", "m"]], "]"]]]]]], "/;", RowBox[List["s", "\[Element]", "Integers"]]]]]]

 MathML Form

 dc ( z + 3 K ( 1 - m ) m ) m cd ( z m ) /; s TagBox["\[DoubleStruckCapitalZ]", Function[List[], Integers]] Condition JacobiDC z 3 EllipticK 1 -1 m m m 1 2 JacobiCD z m s [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiDC", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List["3", " ", "\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m_"]], "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SqrtBox["m"], " ", RowBox[List["JacobiCD", "[", RowBox[List["z", ",", "m"]], "]"]]]], "/;", RowBox[List["s", "\[Element]", "Integers"]]]]]]]]

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

 2007-05-02