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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Bessel-Related Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
HankelH2
SphericalHankelH1
SphericalBesselJ
See Also »
|
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
New in 6.0: Mathematical Functions
More About »
SphericalHankelH2
SphericalHankelH2
[
n
,
z
]
gives the spherical Hankel function of the second kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
SphericalHankelH2
is given in terms of ordinary Hankel functions by
.
SphericalHankelH2
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
Explicit symbolic forms for integer
n
can be obtained using
FunctionExpand
.
For certain special arguments,
SphericalHankelH2
automatically evaluates to exact values.
SphericalHankelH2
can be evaluated to arbitrary numerical precision.
SphericalHankelH2
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
Series at infinity:
In[1]:=
Out[1]=
Scope
(6)
Properties & Relations
(1)
SEE ALSO
HankelH2
SphericalHankelH1
SphericalBesselJ
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
New in 6.0: Mathematical Functions
New in 6
© 2013 Wolfram Research, Inc.
. 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 