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 LaguerreL

 http://functions.wolfram.com/07.02.25.0002.01

 Input Form

 Limit[LaguerreL[\[Nu], -(z^2/(4 \[Nu]))], \[Nu] -> Infinity] == BesselI[0, z]

 Standard Form

 Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]", ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "2"], RowBox[List["4", " ", "\[Nu]"]]]]]]], "]"]], ",", RowBox[List["\[Nu]", "\[Rule]", "\[Infinity]"]]]], "]"]], "\[Equal]", RowBox[List["BesselI", "[", RowBox[List["0", ",", "z"]], "]"]]]]]]]]

 MathML Form

 lim ν "\[Rule]" L ν ( - z 2 4 ν ) I 0 ( z ) ν ν LaguerreL ν -1 z 2 4 ν -1 BesselI 0 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]_", ",", RowBox[List["-", FractionBox[SuperscriptBox["z_", "2"], RowBox[List["4", " ", "\[Nu]_"]]]]]]], "]"]], ",", RowBox[List["\[Nu]_", "\[Rule]", "\[Infinity]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["BesselI", "[", RowBox[List["0", ",", "z"]], "]"]]]]]]

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

 2001-10-29