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 ArcCsch

 http://functions.wolfram.com/01.29.27.2007.01

 Input Form

 ArcCsch[Sqrt[1 - z]/Sqrt[z]] == -ArcCoth[Sqrt[1/z]] - Pi I /; Element[z, Reals] && z > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", FractionBox[SqrtBox[RowBox[List["1", "-", "z"]]], SqrtBox["z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", RowBox[List["ArcCoth", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]], "-", RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["z", ">", "1"]]]], ")"]]]]]]

 MathML Form

 csch - 1 ( 1 - z z ) - coth - 1 ( 1 z ) - π /; ( z z > 1 ) Condition 1 -1 z 1 2 z 1 2 -1 -1 1 z -1 1 2 -1 z z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", FractionBox[SqrtBox[RowBox[List["1", "-", "z_"]]], SqrtBox["z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["ArcCoth", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]], "-", RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]]]], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", ">", "1"]]]]]]]]]]

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

 2003-08-21