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 ChebyshevT

 http://functions.wolfram.com/07.04.17.0006.01

 Input Form

 ChebyshevT[\[Nu], z] == (1/(2 z)) (ChebyshevT[\[Nu] + 1, z] + ChebyshevT[\[Nu] - 1, z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ChebyshevT", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", RowBox[List["2", "z"]]], RowBox[List["(", RowBox[List[RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]], "+", RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", "z"]], "]"]]]], ")"]]]]]]]]

 MathML Form

 T ν ( z ) 1 2 z ( T ν - 1 ( z ) + T ν + 1 ( z ) ) ChebyshevT ν z 1 2 z -1 ChebyshevT ν -1 z ChebyshevT ν 1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ChebyshevT", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]], "+", RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", "z"]], "]"]]]], RowBox[List["2", " ", "z"]]]]]]]

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

 2001-10-29