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 LegendreP

 http://functions.wolfram.com/07.07.03.0006.01

 Input Form

 LegendreP[1/2, z] == (2/Pi) (2 EllipticE[(1 - z)/2] - EllipticK[(1 - z)/2])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["LegendreP", "[", RowBox[List[FractionBox["1", "2"], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["2", "\[Pi]"], RowBox[List["(", RowBox[List[RowBox[List["2", RowBox[List["EllipticE", "[", FractionBox[RowBox[List["1", "-", "z"]], "2"], "]"]]]], "-", RowBox[List["EllipticK", "[", FractionBox[RowBox[List["1", "-", "z"]], "2"], "]"]]]], ")"]]]]]]]]

 MathML Form

 P TagBox["P", LegendreP] 1 2 ( z ) 2 π ( 2 E ( 1 - z 2 ) - K ( 1 - z 2 ) ) LegendreP 1 2 z 2 -1 2 EllipticE 1 -1 z 2 -1 -1 EllipticK 1 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LegendreP", "[", RowBox[List[FractionBox["1", "2"], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", RowBox[List["EllipticE", "[", FractionBox[RowBox[List["1", "-", "z"]], "2"], "]"]]]], "-", RowBox[List["EllipticK", "[", FractionBox[RowBox[List["1", "-", "z"]], "2"], "]"]]]], ")"]]]], "\[Pi]"]]]]]

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

 2001-10-29