html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 LegendreP

 http://functions.wolfram.com/05.07.27.0008.01

 Input Form

 LegendreP[n, \[Mu], 2, x] == LegendreP[n, \[Mu], 3, x]/E^((Pi I \[Mu])/2) /; x > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LegendreP", "[", RowBox[List["n", ",", "\[Mu]", ",", "2", ",", "x"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", "\[Mu]"]], "2"]]]], " ", RowBox[List["LegendreP", "[", RowBox[List["n", ",", "\[Mu]", ",", "3", ",", "x"]], "]"]]]]]], "/;", RowBox[List["x", ">", "1"]]]]]]

 MathML Form

 P TagBox["P", LegendreP] n μ ( x TagBox["x", HoldComplete[LegendreP, 2]] ) - π μ 2 𝔓 TagBox["\[GothicCapitalP]", LegendreQ] n μ ( x ) /; x > 1 Condition LegendreP n μ 2 x -1 μ 2 -1 Subscript LegendreQ 𝔓 n μ x x 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LegendreP", "[", RowBox[List["n_", ",", "\[Mu]_", ",", "2", ",", "x_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", RowBox[List["(", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", "\[Mu]"]], ")"]]]]], " ", RowBox[List["LegendreP", "[", RowBox[List["n", ",", "\[Mu]", ",", "3", ",", "x"]], "]"]]]], "/;", RowBox[List["x", ">", "1"]]]]]]]]

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

 2001-10-29