BesselK

BesselK[n,z]

gives the modified Bessel function of the second kind .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • satisfies the differential equation .
  • BesselK[n,z] has a branch cut discontinuity in the complex z plane running from to .
  • FullSimplify and FunctionExpand include transformation rules for BesselK.
  • For certain special arguments, BesselK automatically evaluates to exact values.
  • BesselK can be evaluated to arbitrary numerical precision.
  • BesselK automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Scope  (6)

Generalizations & Extensions  (1)

Applications  (1)

Properties & Relations  (5)

Possible Issues  (1)

See Also

BesselI  AiryAi  BesselJ  KelvinKer  KelvinKei

Tutorials

Introduced in 1988
(1.0)
| Updated in 1999
(4.0)