Lucas numbers: General characteristics (formula 04.22.04.0001)

LucasL

$Mathematica Notation$

Integer Functions

LucasL[nu]

General characteristics

Domain and analyticity

http://functions.wolfram.com/04.22.04.0001.01

Input Form

DomainAndRange[Function[\[Nu], LucasL[\[Nu]]]] == Complexes \[LongRightArrow] Complexes

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["\[Nu]", ",", RowBox[List["LucasL", "[", "\[Nu]", "]"]]]], "]"]], "]"]], " ", "\[Equal]", RowBox[List["Complexes", "\[LongRightArrow]", "Complexes"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> ν </mi> <mo> ⟶ </mo> <msub> <semantics> <mi> L </mi> <annotation encoding='Mathematica'> TagBox["L", LucasL] </annotation> </semantics> <mi> ν </mi> </msub> </mrow> <mo> ∷ </mo> <mrow> <mi> ℂ </mi> <mo> ⟶ </mo> <mi> ℂ </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <ci> ν </ci> <apply> <ci> LucasL </ci> <ci> ν </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <ci> ℂ </ci> <ci> ℂ </ci> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["\[Nu]_", ",", RowBox[List["LucasL", "[", "\[Nu]_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Complexes", "\[LongRightArrow]", "Complexes"]]]]]]

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

2007-05-02