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 ArcCsch

 http://functions.wolfram.com/01.29.27.0941.01

 Input Form

 ArcCsch[Sqrt[1/(z - 1)]] == Sqrt[1 - z] Sqrt[1/(z - 1)] (ArcCsc[1/Sqrt[z]] - Pi/2)

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2003-08-21