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 GegenbauerC

 http://functions.wolfram.com/05.09.06.0053.01

 Input Form

 GegenbauerC[n, \[Lambda], z] \[Proportional] (((2 z)^n \[Lambda]^n)/n!) (1 + O[1/\[Lambda]])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["GegenbauerC", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["2", "z"]], ")"]], "n"], SuperscriptBox["\[Lambda]", "n"]]], RowBox[List["n", "!"]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", FractionBox["1", "\[Lambda]"], "]"]]]], ")"]]]]]]]]

 MathML Form

 C n λ ( z ) ( 2 z ) n λ n n ! ( 1 + O ( 1 λ ) ) Proportional Subscript C n λ z 2 z n λ n n -1 1 O 1 λ -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["GegenbauerC", "[", RowBox[List["n_", ",", "\[Lambda]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["2", " ", "z"]], ")"]], "n"], " ", SuperscriptBox["\[Lambda]", "n"]]], ")"]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", FractionBox["1", "\[Lambda]"], "]"]]]], ")"]]]], RowBox[List["n", "!"]]]]]]]

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

 2007-05-02