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 ChebyshevU

 http://functions.wolfram.com/05.05.16.0002.01

 Input Form

 ChebyshevU[-n, z] == -ChebyshevU[n - 2, z] /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List["-", "n"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List["n", "-", "2"]], ",", "z"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 U - n ( z ) - U n - 2 ( z ) /; n TagBox["\[DoubleStruckCapitalN]", Function[List[], Integers]] + Condition ChebyshevU -1 n z -1 ChebyshevU n -2 z n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List["-", "n_"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List["n", "-", "2"]], ",", "z"]], "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2007-05-02