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 ArcCoth

 http://functions.wolfram.com/01.28.27.1801.01

 Input Form

 ArcCoth[Sqrt[z]/Sqrt[z - 1]] == (Sqrt[-1 + z]/Sqrt[1 - z]) Sqrt[z] Sqrt[1/z] ArcSec[Sqrt[1/z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", FractionBox[SqrtBox["z"], SqrtBox[RowBox[List["z", "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], SqrtBox[RowBox[List["1", "-", "z"]]]], SqrtBox["z"], SqrtBox[FractionBox["1", "z"]], RowBox[List["ArcSec", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]]]]]]

 MathML Form

 coth - 1 ( z z - 1 ) z - 1 z 1 - z 1 z sec - 1 ( 1 z ) z 1 2 z -1 1 2 -1 z -1 1 2 z 1 2 1 -1 z 1 2 -1 1 z -1 1 2 1 z -1 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", FractionBox[SqrtBox["z_"], SqrtBox[RowBox[List["z_", "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", "z"]]], " ", SqrtBox["z"], " ", SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["ArcSec", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]], SqrtBox[RowBox[List["1", "-", "z"]]]]]]]]

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

 2003-09-04