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 ChebyshevU

 http://functions.wolfram.com/07.05.06.0054.01

 Input Form

 ChebyshevU[\[Nu], z] == Cos[\[Nu] ArcCos[z]] + (z/Sqrt[1 - z^2]) Sin[\[Nu] ArcCos[z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", RowBox[List["ArcCos", "[", "z", "]"]]]], "]"]], "+", RowBox[List[FractionBox["z", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]], RowBox[List["Sin", "[", RowBox[List["\[Nu]", " ", RowBox[List["ArcCos", "[", "z", "]"]]]], "]"]]]]]]]]]]

 MathML Form

 U ν ( z ) cos ( ν cos - 1 ( z ) ) + z 1 - z 2 sin ( ν cos - 1 ( z ) ) ChebyshevU ν z ν z z 1 -1 z 2 1 2 -1 ν z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevU", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", RowBox[List["ArcCos", "[", "z", "]"]]]], "]"]], "+", FractionBox[RowBox[List["z", " ", RowBox[List["Sin", "[", RowBox[List["\[Nu]", " ", RowBox[List["ArcCos", "[", "z", "]"]]]], "]"]]]], SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]]]]]]]

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

 2007-05-02