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Bessel-Related Functions
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KelvinKei
KelvinKei
[
z
]
gives the Kelvin function
.
KelvinKei
[
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.
KelvinKei
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
KelvinKei
[
z
]
is equivalent to
KelvinKei
[0,
z
]
.
For certain special arguments,
KelvinKei
automatically evaluates to exact values.
KelvinKei
can be evaluated to arbitrary numerical precision.
KelvinKei
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
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
KelvinKer
KelvinBei
BesselK
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
New in 6.0: Mathematical Functions
New in 6
© 2008 Wolfram Research, Inc.
. For other values, 
is defined by analytic continuation. 
to 
.
EXAMPLES
Basic Examples 
Scope 