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 JacobiDN

 http://functions.wolfram.com/09.29.27.0053.01

 Input Form

 JacobiDN[z, m] == (m JacobiCN[z, m] + JacobiNC[z, m] - m JacobiNC[z, m])/ JacobiDC[z, m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiDN", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["m", " ", RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]]], "+", RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "-", RowBox[List["m", " ", RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]], RowBox[List["JacobiDC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]

 MathML Form

 dn ( z m ) m cn ( z m ) - m nc ( z m ) + nc ( z m ) dc ( z m ) JacobiDN z m m JacobiCN z m -1 m JacobiNC z m JacobiNC z m JacobiDC z m -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiDN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["m", " ", RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]]], "+", RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "-", RowBox[List["m", " ", RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]], RowBox[List["JacobiDC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]

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

 2007-05-02