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 ChebyshevT

 http://functions.wolfram.com/05.04.26.0022.01

 Input Form

 ChebyshevT[n, z] == (1/JacobiP[n, -(1/2), -(1/2), 1]) JacobiP[n, -(1/2), -(1/2), z]

 Standard Form

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

 MathML Form

 T n ( z ) P n ( - 1 2 , - 1 2 ) ( z ) P n ( - 1 2 , - 1 2 ) ( 1 ) ChebyshevT n z JacobiP n -1 1 2 -1 1 2 z JacobiP n -1 1 2 -1 1 2 1 -1 [/itex]

 Rule Form

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

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

 2001-10-29