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 LaguerreL

 http://functions.wolfram.com/05.08.20.0013.01

 Input Form

 D[LaguerreL[n, \[Lambda], z], \[Lambda]] == Sum[(1/(n - k)) LaguerreL[k, \[Lambda], z], {k, 0, n - 1}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "\[Lambda]"], RowBox[List["LaguerreL", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["n", "-", "1"]]], RowBox[List[FractionBox["1", RowBox[List["n", "-", "k"]]], " ", RowBox[List["LaguerreL", "[", RowBox[List["k", ",", "\[Lambda]", ",", "z"]], "]"]]]]]]]]]]

 MathML Form

 L n λ ( z ) λ k = 0 n - 1 L k λ ( z ) n - k λ LaguerreL n λ z k 0 n -1 LaguerreL k λ z n -1 k -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["\[Lambda]_"]]], RowBox[List["LaguerreL", "[", RowBox[List["n_", ",", "\[Lambda]_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["n", "-", "1"]]], FractionBox[RowBox[List["LaguerreL", "[", RowBox[List["k", ",", "\[Lambda]", ",", "z"]], "]"]], RowBox[List["n", "-", "k"]]]]]]]]]

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

 2002-12-18

© 1998-2013 Wolfram Research, Inc.