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 LaguerreL

 http://functions.wolfram.com/07.03.21.0001.01

 Input Form

 Integrate[LaguerreL[\[Nu], \[Lambda], z], z] == -LaguerreL[1 + \[Nu], \[Lambda] - 1, z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]", ",", "\[Lambda]", ",", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["-", RowBox[List["LaguerreL", "[", RowBox[List[RowBox[List["1", "+", "\[Nu]"]], ",", RowBox[List["\[Lambda]", "-", "1"]], ",", "z"]], "]"]]]]]]]]

 MathML Form

 L ν λ ( z ) z - L ν + 1 λ - 1 ( z ) z LaguerreL ν λ z -1 LaguerreL ν 1 λ -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["\[Nu]_", ",", "\[Lambda]_", ",", "z_"]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List["LaguerreL", "[", RowBox[List[RowBox[List["1", "+", "\[Nu]"]], ",", RowBox[List["\[Lambda]", "-", "1"]], ",", "z"]], "]"]]]]]]]]

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

 2001-10-29