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 GegenbauerC

 http://functions.wolfram.com/07.13.06.0055.01

 Input Form

 GegenbauerC[\[Nu], z] == (2/\[Nu]) Cos[\[Nu] (Pi - 2 ArcSin[Sqrt[1 + z]/Sqrt[2]])]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["2", "\[Nu]"], RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", RowBox[List["(", RowBox[List["\[Pi]", "-", RowBox[List["2", " ", RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["1", "+", "z"]]], SqrtBox["2"]], "]"]]]]]], ")"]]]], "]"]]]]]]]]

 MathML Form

 C ν ( 0 ) ( z ) 2 ν cos ( ν ( π - 2 sin - 1 ( z + 1 2 ) ) ) GegenbauerC ν 0 z 2 ν -1 ν -1 2 z 1 1 2 2 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", RowBox[List["(", RowBox[List["\[Pi]", "-", RowBox[List["2", " ", RowBox[List["ArcSin", "[", FractionBox[SqrtBox[RowBox[List["1", "+", "z"]]], SqrtBox["2"]], "]"]]]]]], ")"]]]], "]"]]]], "\[Nu]"]]]]]

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

 2007-05-02