SphericalBesselJ[n, z]
gives the spherical Bessel function of the first kind .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • SphericalBesselJ is given in terms of ordinary Bessel functions by .
  • SphericalBesselJ[n, z] 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.
  • SphericalBesselJ can be evaluated to arbitrary numerical precision.
  • SphericalBesselJ automatically threads over lists.
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