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 Fibonacci

 http://functions.wolfram.com/07.06.17.0001.01

 Input Form

 Fibonacci[\[Nu], z] == Fibonacci[\[Nu] + 2, z] - z Fibonacci[\[Nu] + 1, z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["\[Nu]", "+", "2"]], ",", "z"]], "]"]], "-", RowBox[List["z", " ", RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]]]]]]]]]]

 MathML Form

 F TagBox["F", Fibonacci] ν ( z ) - z F TagBox["F", Fibonacci] ν + 1 ( z ) + F TagBox["F", Fibonacci] ν + 2 ( z ) Fibonacci ν z -1 z Fibonacci ν 1 z Fibonacci ν 2 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["\[Nu]", "+", "2"]], ",", "z"]], "]"]], "-", RowBox[List["z", " ", RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["\[Nu]", "+", "1"]], ",", "z"]], "]"]]]]]]]]]]

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

 2001-10-29