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 JacobiP

 http://functions.wolfram.com/07.15.25.0003.01

 Input Form

 Limit[JacobiP[\[Nu], 0, b, 1 - (2 z)/b], b -> Infinity] == LaguerreL[\[Nu], z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["\[Nu]", ",", "0", ",", "b", ",", RowBox[List["1", "-", FractionBox[RowBox[List["2", " ", "z"]], "b"]]]]], "]"]], ",", RowBox[List["b", "\[Rule]", "\[Infinity]"]]]], "]"]], "\[Equal]", RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]

 MathML Form

 lim b "\[Rule]" P ν ( 0 , b ) ( 1 - 2 z b ) L ν ( z ) b b JacobiP ν 0 b 1 -1 2 z b -1 LaguerreL ν z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["\[Nu]_", ",", "0", ",", "b_", ",", RowBox[List["1", "-", FractionBox[RowBox[List["2", " ", "z_"]], "b_"]]]]], "]"]], ",", RowBox[List["b_", "\[Rule]", "\[Infinity]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]

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

 2001-10-29