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SphericalBesselJ

SphericalBesselJ
gives the spherical Bessel function of the first kind .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • SphericalBesselJ has a branch cut discontinuity for non-integer in the complex plane running from to .
  • Explicit symbolic forms for integer n can be obtained using FunctionExpand.
  • For certain special arguments, SphericalBesselJ automatically evaluates to exact values.
Evaluate numerically:
Plot :
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Plot :
In[1]:=
Click for copyable input
Out[1]=
Find explicit symbolic forms using FunctionExpand:
Evaluate for complex arguments and orders:
Evaluate numerically to high precision:
The precision of the output tracks precision of the input:
SphericalBesselJ threads element-wise over lists:
TraditionalForm formatting:
Solve the radial part of the Laplace operator in 3D:
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