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 ArcCsch

 http://functions.wolfram.com/01.29.27.0728.01

 Input Form

 ArcCsch[(z^2 - 1)/(2 z)] == -2 I ArcCot[I/z] /; Abs[z] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", FractionBox[RowBox[List[SuperscriptBox["z", "2"], "-", "1"]], RowBox[List["2", " ", "z"]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", FractionBox["\[ImaginaryI]", "z"], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]

 MathML Form

 csch - 1 ( z 2 - 1 2 z ) - 2 cot - 1 ( z ) /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" < 1 Condition z 2 -1 2 z -1 -2 z -1 z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", FractionBox[RowBox[List[SuperscriptBox["z_", "2"], "-", "1"]], RowBox[List["2", " ", "z_"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", RowBox[List["ArcCot", "[", FractionBox["\[ImaginaryI]", "z"], "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]]]

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

 2003-08-21