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 JacobiDN

 http://functions.wolfram.com/09.29.27.0091.01

 Input Form

 JacobiDN[z, m] == -(((-1 + m - JacobiCS[z, m]^2) JacobiSD[z, m])/ JacobiNS[z, m])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiDN", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "m", "-", SuperscriptBox[RowBox[List["JacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]]], ")"]], " ", RowBox[List["JacobiSD", "[", RowBox[List["z", ",", "m"]], "]"]]]], RowBox[List["JacobiNS", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]]

 MathML Form

 dn ( z m ) - ( - cs ( z m ) 2 + m - 1 ) sd ( z m ) ns ( z m ) JacobiDN z m -1 -1 JacobiCS z m 2 m -1 JacobiSD z m JacobiNS z m -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiDN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "m", "-", SuperscriptBox[RowBox[List["JacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]]], ")"]], " ", RowBox[List["JacobiSD", "[", RowBox[List["z", ",", "m"]], "]"]]]], RowBox[List["JacobiNS", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]]

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

 2007-05-02