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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Bessel-Related Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
BesselJ
SphericalBesselY
SphericalHankelH1
SphericalHankelH2
SpheroidalS1
See Also »
|
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
Functions Used in Quantum Mechanics
Special Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
More About »
SphericalBesselJ
SphericalBesselJ
[
n
,
z
]
gives the spherical Bessel function of the first kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
SphericalBesselJ
is given in terms of ordinary Bessel functions by
.
SphericalBesselJ
[
n
,
z
]
has a branch cut discontinuity for non-integer
in the complex
plane running from
to
.
Explicit symbolic forms for integer
n
can be obtained using
FunctionExpand
.
For certain special arguments,
SphericalBesselJ
automatically evaluates to exact values.
SphericalBesselJ
can be evaluated to arbitrary numerical precision.
SphericalBesselJ
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Scope
(6)
Applications
(1)
Properties & Relations
(1)
SEE ALSO
BesselJ
SphericalBesselY
SphericalHankelH1
SphericalHankelH2
SpheroidalS1
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
Functions Used in Quantum Mechanics
Special Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6
© 2008 Wolfram Research, Inc.
. 
. 
in the complex 
plane running from 
to 
.
EXAMPLES
Basic Examples 
Scope 