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 GegenbauerC

 http://functions.wolfram.com/07.13.02.0001.01

 Input Form

 GegenbauerC[\[Nu], z] == (2/\[Nu]) ChebyshevT[\[Nu], z] == (2/\[Nu]) Cos[\[Nu] ArcCos[z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["2", "\[Nu]"], RowBox[List["ChebyshevT", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["2", " "]], RowBox[List["\[Nu]", " "]]], RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", RowBox[List["ArcCos", "[", "z", "]"]]]], "]"]]]]]]]]

 MathML Form

 C ν ( 0 ) ( z ) 2 ν T ν ( z ) 2 cos ( ν cos - 1 ( z ) ) ν GegenbauerC ν 0 z 2 ν -1 ChebyshevT ν z 2 ν z ν -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List["2", " ", RowBox[List["ChebyshevT", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], "\[Nu]"], "\[Equal]", FractionBox[RowBox[List["2", " ", RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", RowBox[List["ArcCos", "[", "z", "]"]]]], "]"]]]], "\[Nu]"]]]]]

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

 2001-10-29