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 ChebyshevU

 http://functions.wolfram.com/05.05.26.0026.01

 Input Form

 ChebyshevU[n, z] == ((n + 1)/JacobiP[n, 1/2, 1/2, 1]) JacobiP[n, 1/2, 1/2, z]

 Standard Form

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

 MathML Form

 U n ( z ) ( n + 1 ) P n ( 1 2 , 1 2 ) ( z ) P n ( 1 2 , 1 2 ) ( 1 ) ChebyshevU n z n 1 JacobiP n 1 2 1 2 z JacobiP n 1 2 1 2 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevU", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["n", "+", "1"]], ")"]], " ", RowBox[List["JacobiP", "[", RowBox[List["n", ",", FractionBox["1", "2"], ",", FractionBox["1", "2"], ",", "z"]], "]"]]]], RowBox[List["JacobiP", "[", RowBox[List["n", ",", FractionBox["1", "2"], ",", FractionBox["1", "2"], ",", "1"]], "]"]]]]]]]

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

 2001-10-29