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 ChebyshevU

 http://functions.wolfram.com/05.05.27.0001.01

 Input Form

 ChebyshevU[n, z] == (z ChebyshevT[n + 1, z] - ChebyshevT[n + 2, z])/(1 - z^2)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["z", " ", RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["n", "+", "1"]], ",", "z"]], "]"]]]], "-", RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["n", "+", "2"]], ",", "z"]], "]"]]]], RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]]]]

 MathML Form

 U n ( z ) z T n + 1 ( z ) - T n + 2 ( z ) 1 - z 2 ChebyshevU n z z ChebyshevT n 1 z -1 ChebyshevT n 2 z 1 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevU", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["z", " ", RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["n", "+", "1"]], ",", "z"]], "]"]]]], "-", RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["n", "+", "2"]], ",", "z"]], "]"]]]], RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]]]]

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

 2001-10-29