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 JacobiCD

 http://functions.wolfram.com/09.25.16.0006.01

 Input Form

 JacobiCD[z + EllipticK[m] + I EllipticK[1 - m], m] == -(JacobiNS[z, m]/Sqrt[m])

 Standard Form

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

 MathML Form

 cd ( z + K ( 1 - m ) + K ( m ) m ) - ns ( z m ) m JacobiCD z EllipticK 1 -1 m EllipticK m m -1 JacobiNS z m m 1 2 -1 [/itex]

 Rule Form

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

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

 2001-10-29