SphericalHankelH1

SphericalHankelH1[n,z]

gives the spherical Hankel function of the first kind .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • SphericalHankelH1 is given in terms of ordinary Hankel functions by .
  • SphericalHankelH1[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • Explicit symbolic forms for integer n can be obtained using FunctionExpand.
  • For certain special arguments, SphericalHankelH1 automatically evaluates to exact values.
  • SphericalHankelH1 can be evaluated to arbitrary numerical precision.
  • SphericalHankelH1 automatically threads over lists.

Examples

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Basic Examples  (2)

Evaluate numerically:

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Series at infinity:

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Scope  (6)

Properties & Relations  (1)

See Also

HankelH1  SphericalHankelH2  SphericalBesselY

Tutorials

Introduced in 2007
(6.0)