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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 »
|
KelvinBei
KelvinKer
BesselJ
See Also »
|
Bessel-Related Functions
Special Functions
New in 6.0: Mathematical Functions
More About »
KelvinBer
KelvinBer
[
z
]
gives the Kelvin function
.
KelvinBer
[
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.
KelvinBer
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
KelvinBer
[
z
]
is equivalent to
KelvinBer
[0,
z
]
.
For certain special arguments,
KelvinBer
automatically evaluates to exact values.
KelvinBer
can be evaluated to arbitrary numerical precision.
KelvinBer
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
(5)
Generalizations & Extensions
(1)
Applications
(2)
Properties & Relations
(3)
SEE ALSO
KelvinBei
KelvinKer
BesselJ
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
Special Functions
New in 6.0: Mathematical Functions
New in 6
© 2013 Wolfram Research, Inc.
. For other values, 
is defined by analytic continuation. 
to 
.
EXAMPLES
Basic Examples 
Scope 