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 ArcCosh

 http://functions.wolfram.com/01.26.27.1669.01

 Input Form

 ArcCosh[(z + 1)/(z - 1)] == Pi Sqrt[1/z] Sqrt[-z] + 2 Sqrt[z] Sqrt[1/z] ArcTanh[Sqrt[z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCosh", "[", FractionBox[RowBox[List["z", "+", "1"]], RowBox[List["z", "-", "1"]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["\[Pi]", " ", SqrtBox[FractionBox["1", "z"]], " ", SqrtBox[RowBox[List["-", "z"]]]]], "+", RowBox[List["2", SqrtBox["z"], SqrtBox[FractionBox["1", "z"]], RowBox[List["ArcTanh", "[", SqrtBox["z"], "]"]]]]]]]]]]

 MathML Form

 cosh - 1 ( z + 1 z - 1 ) 2 1 z z tanh - 1 ( z ) + π 1 z - z z 1 z -1 -1 2 1 z -1 1 2 z 1 2 z 1 2 1 z -1 1 2 -1 z 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCosh", "[", FractionBox[RowBox[List["z_", "+", "1"]], RowBox[List["z_", "-", "1"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[Pi]", " ", SqrtBox[FractionBox["1", "z"]], " ", SqrtBox[RowBox[List["-", "z"]]]]], "+", RowBox[List["2", " ", SqrtBox["z"], " ", SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["ArcTanh", "[", SqrtBox["z"], "]"]]]]]]]]]]

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

 2003-08-21