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 ChebyshevU

 http://functions.wolfram.com/07.05.21.0001.01

 Input Form

 Integrate[ChebyshevU[\[Nu], a z], z] == ChebyshevT[1 + \[Nu], a z]/ (a (1 + \[Nu]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List["\[Nu]", ",", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["1", "+", "\[Nu]"]], ",", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["a", RowBox[List["(", RowBox[List["1", "+", "\[Nu]"]], ")"]]]]]]]]]

 MathML Form

 U ν ( a z ) z 1 a ( ν + 1 ) T ν + 1 ( a z ) z ChebyshevU ν a z 1 a ν 1 -1 ChebyshevT ν 1 a z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List["\[Nu]_", ",", RowBox[List["a_", " ", "z_"]]]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["ChebyshevT", "[", RowBox[List[RowBox[List["1", "+", "\[Nu]"]], ",", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["a", " ", RowBox[List["(", RowBox[List["1", "+", "\[Nu]"]], ")"]]]]]]]]]

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

 2001-10-29