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; }

 Coth

 http://functions.wolfram.com/01.22.16.0021.01

 Input Form

 Coth[(I ArcSec[z])/2] == (I Sqrt[-z - 1] Sqrt[-z])/(Sqrt[z - 1] Sqrt[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Coth", "[", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSec", "[", "z", "]"]]]], "2"], "]"]], "\[Equal]", FractionBox[RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List[RowBox[List["-", "z"]], "-", "1"]]], " ", SqrtBox[RowBox[List["-", "z"]]]]], RowBox[List[SqrtBox[RowBox[List["z", "-", "1"]]], " ", SqrtBox["z"]]]]]]]]

 MathML Form

 coth ( 2 sec - 1 ( z ) ) - z - 1 - z z - 1 z 2 -1 z -1 z -1 1 2 -1 z 1 2 z -1 1 2 z 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Coth", "[", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["ArcSec", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["\[ImaginaryI]", " ", SqrtBox[RowBox[List[RowBox[List["-", "z"]], "-", "1"]]], " ", SqrtBox[RowBox[List["-", "z"]]]]], RowBox[List[SqrtBox[RowBox[List["z", "-", "1"]]], " ", SqrtBox["z"]]]]]]]]

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

 2001-10-29