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 ChebyshevU

 http://functions.wolfram.com/05.05.11.0001.01

 Input Form

 ChebyshevU[n, z] == SeriesTerm[1/(t^2 - 2 t z + 1), {t, 0, n}] /; -1 < z < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", RowBox[List["SeriesTerm", "[", RowBox[List[FractionBox["1", RowBox[List[SuperscriptBox["t", "2"], "-", RowBox[List["2", " ", "t", " ", "z"]], "+", "1"]]], ",", RowBox[List["{", RowBox[List["t", ",", "0", ",", "n"]], "}"]]]], "]"]]]], "/;", RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "1"]]]]]]

 MathML Form

 U n ( z ) ( [ t n ] 1 t 2 - 2 t z + 1 ) /; - 1 < z < 1 U n ( z ) ( [ t n ] 1 t 2 - 2 t z + 1 ) /; - 1 < z < 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevU", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["SeriesTerm", "[", RowBox[List[FractionBox["1", RowBox[List[SuperscriptBox["t", "2"], "-", RowBox[List["2", " ", "t", " ", "z"]], "+", "1"]]], ",", RowBox[List["{", RowBox[List["t", ",", "0", ",", "n"]], "}"]]]], "]"]], "/;", RowBox[List[RowBox[List["-", "1"]], "<", "z", "<", "1"]]]]]]]]

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

 2001-10-29