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 ArcCsch

 http://functions.wolfram.com/01.29.27.0964.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21