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 JacobiSD

 http://functions.wolfram.com/09.35.16.0018.01

 Input Form

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

 Standard Form

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

 MathML Form

 sd ( z 2 m ) 2 1 - cn ( z m ) 1 - m + dn ( z m ) + m cn ( z m ) JacobiSD z 2 -1 m 2 1 -1 JacobiCN z m 1 -1 m JacobiDN z m m JacobiCN z m -1 [/itex]

 Rule Form

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

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

 2001-10-29