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BesselJZero
BesselY
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Functions Used in Optics
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BesselJ
BesselJ
[
n
,
z
]
gives the Bessel function of the first kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
satisfies the differential equation
.
BesselJ
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
FullSimplify
and
FunctionExpand
include transformation rules for
BesselJ
.
For certain special arguments,
BesselJ
automatically evaluates to exact values.
BesselJ
can be evaluated to arbitrary numerical precision.
BesselJ
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
(5)
Generalizations & Extensions
(1)
Applications
(2)
Properties & Relations
(3)
Possible Issues
(1)
SEE ALSO
BesselJZero
BesselY
SphericalBesselJ
HankelH1
HankelH2
KelvinBer
KelvinBei
StruveH
BesselK
BesselI
StruveL
ZernikeR
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Bessel-Related Functions
Functions for Separable Coordinate Systems
Functions Used in Optics
Mathematical Functions
Special Functions
New in 1
© 2008 Wolfram Research, Inc.
. 
satisfies the differential equation 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 