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 Fibonacci

 http://functions.wolfram.com/07.06.21.0002.01

 Input Form

 Integrate[Fibonacci[\[Nu], z], z] == (2 Fibonacci[1 + \[Nu], z] - z Fibonacci[\[Nu], z])/\[Nu]

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29