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 GegenbauerC

 http://functions.wolfram.com/07.14.25.0002.01

 Input Form

 Limit[(1/\[Lambda]) GegenbauerC[\[Nu], \[Lambda], z], \[Lambda] -> 0] == (2/\[Nu]) ChebyshevT[\[Nu], z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List[FractionBox["1", "\[Lambda]"], RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]", ",", "\[Lambda]", ",", "z"]], "]"]]]], ",", RowBox[List["\[Lambda]", "\[Rule]", "0"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["2", "\[Nu]"], RowBox[List["ChebyshevT", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]]]]]]

 MathML Form

 lim λ "\[Rule]" 0 1 λ C ν λ ( z ) 2 ν T ν ( z ) λ λ 0 1 λ -1 Subscript C ν λ z 2 ν -1 ChebyshevT ν z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Limit", "[", RowBox[List[FractionBox[RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]_", ",", "\[Lambda]_", ",", "z_"]], "]"]], "\[Lambda]_"], ",", RowBox[List["\[Lambda]_", "\[Rule]", "0"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", RowBox[List["ChebyshevT", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]]]], "\[Nu]"]]]]]

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

 2001-10-29