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 Fibonacci

 http://functions.wolfram.com/07.06.04.0008.01

 Input Form

 BranchPoints[Fibonacci[\[Nu], z], z] == {2 I, -2 I, ComplexInfinity} /; !Element[\[Nu], Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BranchPoints", "[", RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List[RowBox[List["2", "\[ImaginaryI]"]], ",", RowBox[List[RowBox[List["-", "2"]], "\[ImaginaryI]"]], ",", " ", "ComplexInfinity"]], "}"]]]], "/;", RowBox[List["Not", "[", RowBox[List["Element", "[", RowBox[List["\[Nu]", ",", "Integers"]], "]"]], "]"]]]]]]

 MathML Form

 ℬ𝒫 z ( F TagBox["F", Fibonacci] ν ( z ) ) { 2 , - 2 , ~ } /; ν TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition Subscript ℬ𝒫 z Fibonacci ν z 2 -2 OverTilde ν [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BranchPoints", "[", RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["2", " ", "\[ImaginaryI]"]], ",", RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]"]], ",", "ComplexInfinity"]], "}"]], "/;", RowBox[List["!", RowBox[List["\[Nu]", "\[Element]", "Integers"]]]]]]]]]]

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

 2001-10-29