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 ArcCoth

 http://functions.wolfram.com/01.28.06.0008.02

 Input Form

 ArcCoth[z] \[Proportional] Log[2]/2 - (1/2) Log[z - 1] + (z - 1)/4 + O[(z - 1)^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCoth", "[", "z", "]"]], "\[Proportional]", RowBox[List[FractionBox[RowBox[List["Log", "[", "2", "]"]], "2"], "-", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["Log", "[", RowBox[List["z", "-", "1"]], "]"]]]], "+", FractionBox[RowBox[List["z", "-", "1"]], "4"], "+", RowBox[List["O", "[", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", "1"]], ")"]], "2"], "]"]]]]]]]]

 MathML Form

 coth - 1 ( z ) log ( 2 ) 2 - 1 2 log ( z - 1 ) + z - 1 4 + O ( ( z - 1 ) 2 ) Proportional z 2 2 -1 -1 1 2 z -1 z -1 4 -1 O z -1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCoth", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["Log", "[", "2", "]"]], "2"], "-", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["Log", "[", RowBox[List["z", "-", "1"]], "]"]]]], "+", FractionBox[RowBox[List["z", "-", "1"]], "4"], "+", SuperscriptBox[RowBox[List["O", "[", RowBox[List["z", "-", "1"]], "]"]], "2"]]]]]]]

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

 2001-10-29