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 JacobiDN

 http://functions.wolfram.com/09.29.16.0178.01

 Input Form

 JacobiDN[z + 3 EllipticK[m] + I EllipticK[1 - m], m] == I Sqrt[1 - m] JacobiSC[z, m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiDN", "[", RowBox[List[RowBox[List["z", "+", RowBox[List["3", RowBox[List["EllipticK", "[", "m", "]"]]]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List["1", "-", "m"]]], " ", RowBox[List["JacobiSC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

 MathML Form

 dn ( z + K ( 1 - m ) + 3 K ( m ) m ) 1 - m sc ( z m ) JacobiDN z EllipticK 1 -1 m 3 EllipticK m m 1 -1 m 1 2 JacobiSC z m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiDN", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List["3", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m_"]], "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List["1", "-", "m"]]], " ", RowBox[List["JacobiSC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

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

 2007-05-02