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 ChebyshevT

 http://functions.wolfram.com/07.04.09.0001.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29