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SphericalBesselJ

SphericalBesselJ[n, z]
gives the spherical Bessel function of the first kind j_n(z).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • SphericalBesselJ[n, z] has a branch cut discontinuity for non-integer n 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, SphericalBesselJ automatically evaluates to exact values.
EXAMPLESCLOSE ALL
Basic Examples   (2)
Evaluate numerically:
Plot j_1(x):
Evaluate numerically:
In[1]:=
Click for copyable input
Out[1]=
 
Plot j_1(x):
In[1]:=
Click for copyable input
Out[1]=
Scope   (6)
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:
Applications   (1)
Solve the radial part of the Laplace operator in 3D:
New in 6
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