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 LaguerreL

 http://functions.wolfram.com/07.03.26.0005.01

 Input Form

 LaguerreL[\[Nu], \[Lambda], z] == Limit[JacobiP[\[Nu], \[Lambda], b, 1 - (2 z)/b], b -> Infinity]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]", ",", "\[Lambda]", ",", "z"]], "]"]], "\[Equal]", RowBox[List["Limit", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["\[Nu]", ",", "\[Lambda]", ",", "b", ",", RowBox[List["1", "-", FractionBox[RowBox[List["2", " ", "z"]], "b"]]]]], "]"]], ",", RowBox[List["b", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]]

 MathML Form

 L ν λ ( z ) lim b "\[Rule]" P ν ( λ , b ) ( 1 - 2 z b ) LaguerreL ν λ z b b JacobiP ν λ b 1 -1 2 z b -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]_", ",", "\[Lambda]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Limit", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["\[Nu]", ",", "\[Lambda]", ",", "b", ",", RowBox[List["1", "-", FractionBox[RowBox[List["2", " ", "z"]], "b"]]]]], "]"]], ",", RowBox[List["b", "\[Rule]", "\[Infinity]"]]]], "]"]]]]]]

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

 2001-10-29