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 ArcCoth

 http://functions.wolfram.com/01.28.27.3355.01

 Input Form

 ArcCoth[1/Sqrt[z]] == 2 ArcSech[(Sqrt[2] (1 - z)^(1/4))/Sqrt[Sqrt[1 - z] + 1]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", FractionBox["1", SqrtBox["z"]], "]"]], "\[Equal]", RowBox[List["2", RowBox[List["ArcSech", "[", FractionBox[RowBox[List[SqrtBox["2"], SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], RowBox[List["1", "/", "4"]]]]], SqrtBox[RowBox[List[SqrtBox[RowBox[List["1", "-", "z"]]], "+", "1"]]]], "]"]]]]]]]]

 MathML Form

 coth - 1 ( 1 z ) 2 sech - 1 ( 2 ( 1 - z ) 1 / 4 1 - z + 1 ) 1 z 1 2 -1 2 2 1 2 1 -1 z 1 4 1 -1 z 1 2 1 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", FractionBox["1", SqrtBox["z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", RowBox[List["ArcSech", "[", FractionBox[RowBox[List[SqrtBox["2"], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], RowBox[List["1", "/", "4"]]]]], SqrtBox[RowBox[List[SqrtBox[RowBox[List["1", "-", "z"]]], "+", "1"]]]], "]"]]]]]]]]

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

 2003-09-04