DOCUMENTATION CENTER SEARCH
Mathematica
>
Bessel-Related Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
HankelH2
BesselJ
BesselY
SphericalHankelH1
See Also »
|
Bessel-Related Functions
Special Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
More About »
HankelH1
HankelH1
[
n
,
z
]
gives the Hankel function of the first kind
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
is given by
.
HankelH1
[
n
,
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
For certain special arguments,
HankelH1
automatically evaluates to exact values.
HankelH1
can be evaluated to arbitrary numerical precision.
HankelH1
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot the absolute value of
for various orders:
In[1]:=
Out[1]=
Series at the origin:
In[1]:=
Out[1]=
Series at infinity:
In[2]:=
Out[2]=
Scope
(5)
Generalizations & Extensions
(2)
Properties & Relations
(2)
Possible Issues
(1)
SEE ALSO
HankelH2
BesselJ
BesselY
SphericalHankelH1
TUTORIALS
Special Functions
MORE ABOUT
Bessel-Related Functions
Special Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6
© 2008 Wolfram Research, Inc.
. 
is given by 
. 
to 
.
EXAMPLES
Basic Examples 
Scope 