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 JacobiDS

 http://functions.wolfram.com/09.30.27.0013.01

 Input Form

 JacobiDS[z, m]^2 == ((m - 1) JacobiNC[z, m]^2 - m)/(1 - JacobiNC[z, m]^2)

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["JacobiDS", "[", RowBox[List["z", ",", "m"]], "]"]], "2"], "\[Equal]", FractionBox[RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], " ", SuperscriptBox[RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]]], "-", "m"]], RowBox[List["1", "-", " ", SuperscriptBox[RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]]]]]]]]

 MathML Form

 ds ( z m ) 2 ( m - 1 ) nc ( z m ) 2 - m 1 - nc ( z m ) 2 JacobiDS z m 2 m -1 JacobiNC z m 2 -1 m 1 -1 JacobiNC z m 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["JacobiDS", "[", RowBox[List["z_", ",", "m_"]], "]"]], "2"], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], " ", SuperscriptBox[RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]]], "-", "m"]], RowBox[List["1", "-", SuperscriptBox[RowBox[List["JacobiNC", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]]]]]]]]

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

 2001-10-29