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; }

 ArcSech

 http://functions.wolfram.com/01.30.27.2550.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21