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 Fibonacci

 http://functions.wolfram.com/04.11.06.0003.01

 Input Form

 Fibonacci[\[Nu]] \[Proportional] ((2 Log[GoldenRatio])/Sqrt[5]) \[Nu] + O[\[Nu]^2] /; (\[Nu] -> 0)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", "\[Nu]", "]"]], "\[Proportional]", RowBox[List[RowBox[List[FractionBox[RowBox[List["2", RowBox[List["Log", "[", "GoldenRatio", "]"]]]], SqrtBox["5"]], "\[Nu]"]], "+", RowBox[List["O", "[", SuperscriptBox["\[Nu]", "2"], "]"]]]]]], "/;", RowBox[List["(", RowBox[List["\[Nu]", "\[Rule]", "0"]], ")"]]]]]]

 MathML Form

 F TagBox["F", Fibonacci] ν 2 log ( ϕ TagBox["\[Phi]", Function[GoldenRatio]] ) 5 ν + O ( ν 2 ) /; ( ν "\[Rule]" 0 ) Condition Proportional Fibonacci ν 2 GoldenRatio 5 1 2 -1 ν O ν 2 Rule ν 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", "\[Nu]_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", " ", RowBox[List["Log", "[", "GoldenRatio", "]"]]]], ")"]], " ", "\[Nu]"]], SqrtBox["5"]], "+", SuperscriptBox[RowBox[List["O", "[", "\[Nu]", "]"]], "2"]]], "/;", RowBox[List["(", RowBox[List["\[Nu]", "\[Rule]", "0"]], ")"]]]]]]]]

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

 2001-10-29