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 EllipticF

 http://functions.wolfram.com/08.05.03.0012.01

 Input Form

 EllipticF[z, 1] == 2 ArcTanh[Tan[z/2]] /; Abs[Re[z]] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EllipticF", "[", RowBox[List["z", ",", "1"]], "]"]], "\[Equal]", RowBox[List["2", " ", RowBox[List["ArcTanh", "[", RowBox[List["Tan", "[", FractionBox["z", "2"], "]"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticF", "[", RowBox[List["z_", ",", "1"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", RowBox[List["ArcTanh", "[", RowBox[List["Tan", "[", FractionBox["z", "2"], "]"]], "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2007-05-02