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 ArcTan

 http://functions.wolfram.com/01.14.16.0074.01

 Input Form

 ArcTan[(2 z)/(1 - z^2)] == z Sqrt[z^(-2)] Pi - 2 ArcTan[1/z] /; Abs[z] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcTan", "[", FractionBox[RowBox[List["2", "z"]], RowBox[List["1", "-", SuperscriptBox["z", "2"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["z", SqrtBox[SuperscriptBox["z", RowBox[List["-", "2"]]]], "\[Pi]"]], "-", RowBox[List["2", " ", RowBox[List["ArcTan", "[", FractionBox["1", "z"], "]"]]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]

 MathML Form

 tan - 1 ( 2 z 1 - z 2 ) z π 1 z 2 - 2 tan - 1 ( 1 z ) /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" < 1 Condition 2 z 1 -1 z 2 -1 z 1 z 2 -1 1 2 -1 2 1 z -1 z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["2", " ", "z_"]], RowBox[List["1", "-", SuperscriptBox["z_", "2"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["z", " ", SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", "\[Pi]"]], "-", RowBox[List["2", " ", RowBox[List["ArcTan", "[", FractionBox["1", "z"], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], "<", "1"]]]]]]]]

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

 2003-08-21