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 ArcCsch

 http://functions.wolfram.com/01.29.27.2200.01

 Input Form

 ArcCsch[1/Sqrt[z - 1]] == (1 - Sqrt[z] Sqrt[1/z]) ((Pi I)/2) + ArcSech[Sqrt[1/z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsch", "[", FractionBox["1", SqrtBox[RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "-", RowBox[List[SqrtBox["z"], SqrtBox[FractionBox["1", "z"]]]]]], ")"]], FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"]]], "+", RowBox[List["ArcSech", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]]]]]]

 MathML Form

 csch - 1 ( 1 z - 1 ) ( 1 - z 1 z ) π 2 + sech - 1 ( 1 z ) 1 z -1 1 2 -1 1 -1 z 1 2 1 z -1 1 2 2 -1 1 z -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", FractionBox["1", SqrtBox[RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List[SqrtBox["z"], " ", SqrtBox[FractionBox["1", "z"]]]]]], ")"]], " ", RowBox[List["(", RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], ")"]]]], "+", RowBox[List["ArcSech", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]]]]]]

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

 2003-08-21