KelvinKer

KelvinKer[z]

gives the Kelvin function .

KelvinKer[n,z]

gives the Kelvin function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For positive real values of parameters, . For other values, is defined by analytic continuation.
  • KelvinKer[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • KelvinKer[z] is equivalent to KelvinKer[0,z].
  • For certain special arguments, KelvinKer automatically evaluates to exact values.
  • KelvinKer can be evaluated to arbitrary numerical precision.
  • KelvinKer automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Series at the origin:

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Scope  (4)

Generalizations & Extensions  (1)

Applications  (2)

Properties & Relations  (3)

See Also

KelvinKei  KelvinBer  BesselK

Tutorials

Introduced in 2007
(6.0)