html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcTanh

 http://functions.wolfram.com/01.27.06.0037.01

 Input Form

 ArcTanh[z]^2 \[Proportional] z^2 (1 + (2 z^2)/3 + (23 z^4)/45 + O[z^6])

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["ArcTanh", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[SuperscriptBox["z", "2"], RowBox[List["(", RowBox[List["1", "+", FractionBox[RowBox[List["2", " ", SuperscriptBox["z", "2"]]], "3"], "+", FractionBox[RowBox[List["23", " ", SuperscriptBox["z", "4"]]], "45"], "+", RowBox[List["O", "[", SuperscriptBox["z", "6"], "]"]]]], ")"]]]]]]]]

 MathML Form

 tanh - 1 ( z ) 2 z 2 ( 1 + 2 z 2 3 + 23 z 4 45 + O ( z 6 ) ) Proportional z 2 z 2 1 2 z 2 3 -1 23 z 4 45 -1 O z 6 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["ArcTanh", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["1", "+", FractionBox[RowBox[List["2", " ", SuperscriptBox["z", "2"]]], "3"], "+", FractionBox[RowBox[List["23", " ", SuperscriptBox["z", "4"]]], "45"], "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "6"]]], ")"]]]]]]]]

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

 2007-05-02