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 ArcCsch

 http://functions.wolfram.com/01.29.16.0050.01

 Input Form

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

 Standard Form

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

 MathML Form

 csch - 1 ( 2 z - 1 ) 1 2 - z 1 z ( csch - 1 ( z ) - π 2 ) 2 z -1 -1 1 2 1 2 -1 z 1 2 1 z -1 1 2 z -1 -1 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"], " ", SqrtBox[RowBox[List["-", "z"]]], " ", SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcCsch", "[", FractionBox["\[ImaginaryI]", "z"], "]"]]]]]], ")"]]]]]]]]

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

 2003-08-21