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 EllipticF

 http://functions.wolfram.com/08.05.03.0015.01

 Input Form

 EllipticF[ArcSin[z], -1] == (z/(4 (z^4)^(1/4))) Beta[z^4, 1/4, 1/2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", "z", "]"]], ",", RowBox[List["-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["z", RowBox[List["4", " ", SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "4"], ")"]], RowBox[List["1", "/", "4"]]]]]], RowBox[List["Beta", "[", RowBox[List[SuperscriptBox["z", "4"], ",", FractionBox["1", "4"], ",", FractionBox["1", "2"]]], "]"]]]]]]]]

 MathML Form

 F ( sin - 1 ( z ) - 1 ) z 4 z 4 4 Β Beta z 4 ( 1 4 , 1 2 ) EllipticF z -1 z 4 z 4 1 4 -1 Beta z 4 1 4 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EllipticF", "[", RowBox[List[RowBox[List["ArcSin", "[", "z_", "]"]], ",", RowBox[List["-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["z", " ", RowBox[List["Beta", "[", RowBox[List[SuperscriptBox["z", "4"], ",", FractionBox["1", "4"], ",", FractionBox["1", "2"]]], "]"]]]], RowBox[List["4", " ", SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "4"], ")"]], RowBox[List["1", "/", "4"]]]]]]]]]]

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

 2007-05-02