BesselJ

BesselJ[n,z]

gives the Bessel function of the first kind .

Details

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

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot :

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Scope  (5)

Generalizations & Extensions  (1)

Applications  (3)

Properties & Relations  (9)

Possible Issues  (1)

See Also

BesselJZero  BesselY  SphericalBesselJ  HankelH1  HankelH2  KelvinBer  KelvinBei  StruveH  BesselK  BesselI  AngerJ  WeberE  StruveL  ZernikeR  HankelTransform

Tutorials

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