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; }

 ArcCsch

 http://functions.wolfram.com/01.29.27.1326.01

 Input Form

 ArcCsch[Sqrt[2/(z - 1)]] == (-Sqrt[1/z]) (Sqrt[-z]/2) (Pi/2 + I ArcSinh[I z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["2", RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", SqrtBox[FractionBox["1", "z"]]]], FractionBox[SqrtBox[RowBox[List["-", "z"]]], "2"], RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]]]]]], ")"]]]]]]]]

 MathML Form

 csch - 1 ( 2 z - 1 ) - 1 2 1 z - z ( sinh - 1 ( z ) + π 2 ) 2 z -1 -1 1 2 -1 1 2 1 z -1 1 2 -1 z 1 2 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["2", RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["-", SqrtBox[FractionBox["1", "z"]]]], ")"]], " ", SqrtBox[RowBox[List["-", "z"]]], " ", RowBox[List["(", RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcSinh", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]]]]]], ")"]]]]]]]]

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

 2003-08-21