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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 »
|
BesselY
SphericalBesselJ
SphericalHankelH1
SphericalHankelH2
SpheroidalS2
See Also »
|
Bessel-Related Functions
Functions for Separable Coordinate Systems
New in 6.0: Mathematical Functions
More About »
SphericalBesselY
SphericalBesselY
[
n
,
z
]
gives the spherical Bessel function of the second kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
SphericalBesselY
is given in terms of ordinary Bessel functions by
.
SphericalBesselY
[
n
,
z
]
has a branch cut discontinuity in the complex
plane running from
to
.
Explicit symbolic forms for integer
n
can be obtained using
FunctionExpand
.
For certain special arguments,
SphericalBesselY
automatically evaluates to exact values.
SphericalBesselY
can be evaluated to arbitrary numerical precision.
SphericalBesselY
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
BesselY
SphericalBesselJ
SphericalHankelH1
SphericalHankelH2
SpheroidalS2
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
Functions for Separable Coordinate Systems
New in 6.0: Mathematical Functions
New in 6
. 
. 
plane running from 
to 
.
EXAMPLES
Basic Examples 
Scope 