html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 JacobiCN

 http://functions.wolfram.com/09.26.03.0015.01

 Input Form

 JacobiCN[3 EllipticK[m] + I EllipticK[1 - m], m] == I (Sqrt[1 - m]/Sqrt[m])

 Standard Form

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

 MathML Form

 cn ( 3 K ( m ) + K ( 1 - m ) m ) 1 - m m JacobiCN 3 EllipticK m EllipticK 1 -1 m m 1 -1 m 1 2 m 1 2 -1 [/itex]

 Rule Form

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

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.