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 ArcCsch

 http://functions.wolfram.com/01.29.27.2246.01

 Input Form

 ArcCsch[Sqrt[-2 z]/Sqrt[z - 1]] == (1/2) ArcSech[z] /; Element[z, Reals] && z < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", FractionBox[SqrtBox[RowBox[List[RowBox[List["-", "2"]], "z"]]], SqrtBox[RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "2"], RowBox[List["ArcSech", "[", "z", "]"]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "\[And]", RowBox[List["z", "<", "1"]]]], ")"]]]]]]

 MathML Form

 csch - 1 ( - 2 z z - 1 ) 1 2 sech - 1 ( z ) /; ( z z < 1 ) Condition -2 z 1 2 z -1 1 2 -1 1 2 z z z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", FractionBox[SqrtBox[RowBox[List[RowBox[List["-", "2"]], " ", "z_"]]], SqrtBox[RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["ArcSech", "[", "z", "]"]], "2"], "/;", RowBox[List[RowBox[List["z", "\[Element]", "Reals"]], "&&", RowBox[List["z", "<", "1"]]]]]]]]]]

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

 2003-08-21