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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 »
|
KelvinBer
KelvinKei
BesselJ
See Also »
|
Bessel-Related Functions
New in 6.0: Mathematical Functions
More About »
KelvinBei
KelvinBei
[
z
]
gives the Kelvin function
.
KelvinBei
[
n
,
z
]
gives the Kelvin function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
For positive real values of parameters,
. For other values,
is defined by analytic continuation.
KelvinBei
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
KelvinBei
[
z
]
is equivalent to
KelvinBei
[0,
z
]
.
For certain special arguments,
KelvinBei
automatically evaluates to exact values.
KelvinBei
can be evaluated to arbitrary numerical precision.
KelvinBei
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Series at the origin:
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(1)
Applications
(2)
Properties & Relations
(3)
SEE ALSO
KelvinBer
KelvinKei
BesselJ
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
New in 6.0: Mathematical Functions
New in 6
. For other values, 
is defined by analytic continuation. 
to 
.
EXAMPLES
Basic Examples 
Scope 