html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Fibonacci

 http://functions.wolfram.com/05.12.06.0009.01

 Input Form

 Fibonacci[n, z] \[Proportional] (-n) I^(n + 1) (1 + O[z - 2 I]) /; (z -> 2 I)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List["-", "n"]], " ", SuperscriptBox["\[ImaginaryI]", RowBox[List["n", "+", "1"]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "-", RowBox[List["2", "\[ImaginaryI]"]]]], "]"]]]], ")"]]]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", RowBox[List["2", "\[ImaginaryI]"]]]], ")"]]]]]]

 MathML Form

 F TagBox["F", Fibonacci] n ( z ) - n n + 1 ( 1 + O ( z - 2 ) ) /; ( z "\[Rule]" 2 ) Condition Proportional Fibonacci n z -1 n n 1 1 O z -1 2 Rule z 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", RowBox[List["n_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "n"]], " ", SuperscriptBox["\[ImaginaryI]", RowBox[List["n", "+", "1"]]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", RowBox[List["z", "-", RowBox[List["2", " ", "\[ImaginaryI]"]]]], "]"]]]], ")"]]]], "/;", RowBox[List["(", RowBox[List["z", "\[Rule]", RowBox[List["2", " ", "\[ImaginaryI]"]]]], ")"]]]]]]]]

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

 2001-10-29