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 JacobiDS

 http://functions.wolfram.com/09.30.16.0010.01

 Input Form

 JacobiDS[I Sqrt[1 - m] z, 1/(1 - m)] == -((I JacobiNS[z, m])/Sqrt[1 - m])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiDS", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List["1", "-", "m"]]], " ", "z"]], ",", FractionBox["1", RowBox[List["1", "-", "m"]]]]], "]"]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["JacobiNS", "[", RowBox[List["z", ",", "m"]], "]"]]]], SqrtBox[RowBox[List["1", "-", "m"]]]]]]]]]]

 MathML Form

 ds ( 1 - m z 1 1 - m ) - ns ( z m ) 1 - m JacobiDS 1 -1 m 1 2 z 1 1 -1 m -1 -1 JacobiNS z m 1 -1 m 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiDS", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List["1", "-", "m_"]]], " ", "z_"]], ",", FractionBox["1", RowBox[List["1", "-", "m_"]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["JacobiNS", "[", RowBox[List["z", ",", "m"]], "]"]]]], SqrtBox[RowBox[List["1", "-", "m"]]]]]]]]]]

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

 2001-10-29