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 LaguerreL

 http://functions.wolfram.com/07.03.06.0026.01

 Input Form

 LaguerreL[n, \[Lambda], z] \[Proportional] ((-z)^n/n!) (1 + O[1/z]) && Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "z"]], ")"]], "n"], RowBox[List["n", "!"]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", FractionBox["1", "z"], "]"]]]], ")"]]]]]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]

 MathML Form

 L n λ ( z ) 1 n ! ( - z ) n ( 1 + O ( 1 z ) ) /; n Condition Proportional LaguerreL n λ z 1 n -1 -1 z n 1 O 1 z -1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]], "\[Proportional]", FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "z"]], ")"]], "n"], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", FractionBox["1", "z"], "]"]]]], ")"]]]], RowBox[List["n", "!"]]]]], "&&", RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]

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

 2007-05-02