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 LaguerreL

 http://functions.wolfram.com/05.08.21.0001.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29