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 ChebyshevT

 http://functions.wolfram.com/05.04.09.0001.01

 Input Form

 ChebyshevT[n, z] == (n/2) Limit[(1/\[Lambda]) GegenbauerC[n, \[Lambda], z], \[Lambda] -> 0]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ChebyshevT", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["n", "2"], RowBox[List["Limit", "[", RowBox[List[RowBox[List[FractionBox["1", "\[Lambda]"], RowBox[List["GegenbauerC", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]]]], ",", RowBox[List["\[Lambda]", "\[Rule]", "0"]]]], "]"]]]]]]]]

 MathML Form

 T n ( z ) n 2 lim λ "\[Rule]" 0 1 λ C n λ ( z ) ChebyshevT n z n 2 -1 λ λ 0 1 λ -1 Subscript C n λ z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevT", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", "n", " ", RowBox[List["Limit", "[", RowBox[List[FractionBox[RowBox[List["GegenbauerC", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]], "\[Lambda]"], ",", RowBox[List["\[Lambda]", "\[Rule]", "0"]]]], "]"]]]]]]]]

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

 2001-10-29