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 LegendreP

 http://functions.wolfram.com/05.03.07.0004.01

 Input Form

 LegendreP[n, z] == ((-1)^n/(2^n n!)) D[(1 - z^2)^n, {z, n}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["LegendreP", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], RowBox[List[SuperscriptBox["2", "n"], " ", RowBox[List["n", "!"]]]]], RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["{", RowBox[List["z", ",", "n"]], "}"]]], SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["z", "2"]]], ")"]], "n"]]]]]]]]]

 MathML Form

 P TagBox["P", LegendreP] n ( z ) ( - 1 ) n 2 n n ! n ( 1 - z 2 ) n z n LegendreP n z -1 n 2 n n -1 z n 1 -1 z 2 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LegendreP", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], " ", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List[RowBox[List["{", RowBox[List["z", ",", "n"]], "}"]]]]], SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["z", "2"]]], ")"]], "n"]]]]], RowBox[List[SuperscriptBox["2", "n"], " ", RowBox[List["n", "!"]]]]]]]]]

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

 2001-10-29