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 ArcCsch

 http://functions.wolfram.com/01.29.16.0029.01

 Input Form

 ArcCsch[Sqrt[1/(z - 1)]] == -((Pi I)/2) - ArcCsch[Sqrt[-(1/z)]] /; Im[z] == 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["1", RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], "-", RowBox[List["ArcCsch", "[", SqrtBox[RowBox[List["-", FractionBox["1", "z"]]]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[Equal]", "0"]]]]]]

 MathML Form

 csch - 1 ( 1 z - 1 ) - π 2 - csch - 1 ( - 1 z ) /; Im ( z ) 0 Condition 1 z -1 -1 1 2 -1 2 -1 -1 -1 1 z -1 1 2 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["1", RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", RowBox[List["(", RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], ")"]]]], "-", RowBox[List["ArcCsch", "[", SqrtBox[RowBox[List["-", FractionBox["1", "z"]]]], "]"]]]], "/;", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[Equal]", "0"]]]]]]]]

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

 2003-08-21