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 JacobiND

 http://functions.wolfram.com/09.32.16.0032.01

 Input Form

 JacobiND[z + 3 EllipticK[m] - I EllipticK[1 - m], m] == (I/Sqrt[1 - m]) JacobiCS[z, m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiND", "[", RowBox[List[RowBox[List["z", "+", RowBox[List["3", RowBox[List["EllipticK", "[", "m", "]"]]]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m"]], "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[FractionBox["\[ImaginaryI]", SqrtBox[RowBox[List["1", "-", "m"]]]], " ", RowBox[List["JacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

 MathML Form

 nd ( z - K ( 1 - m ) + 3 K ( m ) m ) cs ( z m ) 1 - m JacobiND z -1 EllipticK 1 -1 m 3 EllipticK m m JacobiCS z m 1 -1 m 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiND", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List["3", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["EllipticK", "[", RowBox[List["1", "-", "m_"]], "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["JacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]]]], SqrtBox[RowBox[List["1", "-", "m"]]]]]]]]

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

 2007-05-02