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 ArcCsch

 http://functions.wolfram.com/01.29.16.0052.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21