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; }

 JacobiSD

 http://functions.wolfram.com/09.35.27.0044.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2007-05-02