html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 JacobiDN

 http://functions.wolfram.com/09.29.27.0038.01

 Input Form

 JacobiDN[z, m] == ((-1 + m) JacobiDC[z, m]^2 JacobiND[z, m])/ (m - JacobiDC[z, m]^2)

 Standard Form

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

 MathML Form

 dn ( z m ) ( m - 1 ) dc ( z m ) 2 nd ( z m ) m - dc ( z m ) 2 JacobiDN z m m -1 JacobiDC z m 2 JacobiND z m m -1 JacobiDC z m 2 -1 [/itex]

 Rule Form

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

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

 2007-05-02