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 ChebyshevU

 http://functions.wolfram.com/07.05.06.0053.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2007-05-02