SphericalBesselJ

SphericalBesselJ[n,z]

gives the spherical Bessel function of the first kind .

Details

  • 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 noninteger 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.

Examples

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Basic Examples  (2)

Evaluate numerically:

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Plot :

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Scope  (6)

Applications  (1)

Properties & Relations  (2)

See Also

BesselJ  SphericalBesselY  SphericalHankelH1  SphericalHankelH2  SpheroidalS1

Tutorials

Introduced in 2007
(6.0)