Spherical Bessel function of the first kind: General characteristics (formula 03.21.04.0018)

SphericalBesselJ

$Mathematica Notation$

Bessel-Type Functions

SphericalBesselJ[nu,z]

General characteristics

Branch cuts

With respect to nu

http://functions.wolfram.com/03.21.04.0018.01

Input Form

BranchCuts[SphericalBesselJ[\[Nu], z], \[Nu]] == {}

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["BranchCuts", "[", RowBox[List[RowBox[List["SphericalBesselJ", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], ",", "\[Nu]"]], "]"]], "\[Equal]", RowBox[List["{", "}"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> ℬ𝒞 </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mrow> <msub> <mi> j </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> { </mo> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> ℬ𝒞 </ci> <ci> ν </ci> </apply> <apply> <ci> SphericalBesselJ </ci> <ci> ν </ci> <ci> z </ci> </apply> </apply> <list /> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BranchCuts", "[", RowBox[List[RowBox[List["SphericalBesselJ", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], ",", "\[Nu]_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", "}"]]]]]]

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

2007-05-02