HankelH2

HankelH2[n,z]
gives the Hankel function of the second kind .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • is given by .
  • HankelH2[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • For certain special arguments, HankelH2 automatically evaluates to exact values.
  • HankelH2 can be evaluated to arbitrary numerical precision.
  • HankelH2 automatically threads over lists.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Evaluate numerically:

In[1]:=
Click for copyable input
Out[1]=

Plot the absolute value of for various orders:

In[1]:=
Click for copyable input
Out[1]=

Series at the origin:

In[1]:=
Click for copyable input
Out[1]=

Series at infinity:

In[2]:=
Click for copyable input
Out[2]=
Introduced in 2007
(6.0)