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 ArcCoth

 http://functions.wolfram.com/01.28.27.1344.01

 Input Form

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

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", FractionBox["1", SqrtBox["z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[FractionBox[SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]], "z"], RowBox[List["ArcCsc", "[", SqrtBox[RowBox[List["1", "-", "z"]]], "]"]]]], "-", FractionBox[RowBox[List["\[Pi]", SqrtBox[RowBox[List["-", SuperscriptBox["z", "2"]]]]]], RowBox[List["2", "z"]]]]]]]]]

 MathML Form

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

 Rule Form

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

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

 2003-09-04