HankelH1

HankelH1[n,z]

gives the Hankel function of the first kind .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • is given by .
  • HankelH1[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • For certain special arguments, HankelH1 automatically evaluates to exact values.
  • HankelH1 can be evaluated to arbitrary numerical precision.
  • HankelH1 automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot the absolute value of for various orders:

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Series at the origin:

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Series at infinity:

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Scope  (25)

Generalizations & Extensions  (2)

Properties & Relations  (2)

Possible Issues  (1)

Introduced in 2007
(6.0)