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 ArcCsch

 http://functions.wolfram.com/01.29.27.1166.01

 Input Form

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

 Standard Form

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

 MathML Form

 csch - 1 ( - 2 z z + 1 ) - z - 1 2 z + 1 ( sec - 1 ( z ) - π ) -2 z 1 2 z 1 1 2 -1 -1 z -1 1 2 2 z 1 1 2 -1 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]", FractionBox[RowBox[List[SqrtBox[RowBox[List[RowBox[List["-", "1"]], "-", "z"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["ArcSec", "[", "z", "]"]], "-", "\[Pi]"]], ")"]]]], RowBox[List["2", " ", SqrtBox[RowBox[List["1", "+", "z"]]]]]]]]]]

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

 2003-08-21