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SphericalHankelH1

SphericalHankelH1[n, z]
gives the spherical Hankel function of the first kind .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • SphericalHankelH1[n, z] has a branch cut discontinuity in the complex z plane running from -infty to 0.
  • Explicit symbolic forms for integer n can be obtained using FunctionExpand.
  • For certain special arguments, SphericalHankelH1 automatically evaluates to exact values.
EXAMPLESCLOSE ALL
Basic Examples   (2)
Evaluate numerically:
Series at infinity:
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Series at infinity:
In[1]:=
Click for copyable input
Out[1]=
Scope   (6)
Find explicit symbolic forms using FunctionExpand:
Evaluate for complex arguments and orders:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
SphericalHankelH1 threads element-wise over lists:
TraditionalForm formatting:
New in 6
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