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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 »
|
BesselI
AiryAi
BesselJ
KelvinKer
KelvinKei
See Also »
|
Bessel-Related Functions
Functions Used in Quantum Mechanics
Mathematical Functions
Special Functions
More About »
BesselK
BesselK
[
n
,
z
]
gives the modified Bessel function of the second kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
satisfies the differential equation
.
BesselK
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
FullSimplify
and
FunctionExpand
include transformation rules for
BesselK
.
For certain special arguments,
BesselK
automatically evaluates to exact values.
BesselK
can be evaluated to arbitrary numerical precision.
BesselK
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(1)
Applications
(1)
Properties & Relations
(2)
Possible Issues
(1)
SEE ALSO
BesselI
AiryAi
BesselJ
KelvinKer
KelvinKei
TUTORIALS
Special Functions
RELATED LINKS
Demonstrations with BesselK
(
Wolfram Demonstrations Project
)
MathWorld
The Wolfram Functions Site
MORE ABOUT
Bessel-Related Functions
Functions Used in Quantum Mechanics
Mathematical Functions
Special Functions
New in 1 | Last modified in 4
. 
satisfies the differential equation 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 