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 LucasL

 http://functions.wolfram.com/04.22.06.0009.01

 Input Form

 LucasL[\[Nu]] \[Proportional] GoldenRatio^\[Nu] + Cos[\[Nu] Pi]/GoldenRatio^\[Nu] /; (Abs[\[Nu]] -> Infinity)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LucasL", "[", "\[Nu]", "]"]], "\[Proportional]", RowBox[List[SuperscriptBox["GoldenRatio", "\[Nu]"], " ", "+", RowBox[List[RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", "\[Pi]"]], "]"]], SuperscriptBox["GoldenRatio", RowBox[List["-", "\[Nu]"]]]]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["Abs", "[", "\[Nu]", "]"]], "\[Rule]", "\[Infinity]"]], ")"]]]]]]

 MathML Form

 L TagBox["L", LucasL] ν ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] ν + cos ( ν π ) ϕ TagBox["\[Phi]", Function[List[], GoldenRatio]] - ν /; ( "\[LeftBracketingBar]" ν "\[RightBracketingBar]" "\[Rule]" ) Condition Proportional LucasL ν GoldenRatio ν ν GoldenRatio -1 ν Rule ν [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LucasL", "[", "\[Nu]_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["GoldenRatio", "\[Nu]"], "+", RowBox[List[RowBox[List["Cos", "[", RowBox[List["\[Nu]", " ", "\[Pi]"]], "]"]], " ", SuperscriptBox["GoldenRatio", RowBox[List["-", "\[Nu]"]]]]]]], "/;", RowBox[List["(", RowBox[List[RowBox[List["Abs", "[", "\[Nu]", "]"]], "\[Rule]", "\[Infinity]"]], ")"]]]]]]]]

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

 2007-05-02