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/09.26.03.0027.01

 Input Form

 JacobiCN[z + (Pi k I)/2, 1] == Sech[z + (k Pi I)/2] /; Element[k, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["JacobiCN", "[", RowBox[List[RowBox[List["z", "+", FractionBox[RowBox[List["\[Pi]", " ", "k", " ", "\[ImaginaryI]"]], "2"]]], ",", "1"]], "]"]], "\[Equal]", RowBox[List["Sech", "[", RowBox[List["z", "+", FractionBox[RowBox[List["k", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], "]"]]]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]

 MathML Form

 cn ( z + π k 2 1 ) sech ( z + π k 2 ) /; k TagBox["\[DoubleStruckCapitalZ]", Function[List[], Integers]] Condition JacobiCN z k 2 -1 1 z k 2 -1 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiCN", "[", RowBox[List[RowBox[List["z_", "+", FractionBox[RowBox[List["\[Pi]", " ", "k", " ", "\[ImaginaryI]"]], "2"]]], ",", "1"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Sech", "[", RowBox[List["z", "+", FractionBox[RowBox[List["k", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], "]"]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]]]

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

 2007-05-02

© 1998-2013 Wolfram Research, Inc.