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BesselJ
 BesselJ[n, z] gives the Bessel function of the first kind  .
Mathematical function (see Section A.3.10).
 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.
See The Mathematica Book: Section 3.2.10.
See also: BesselY, StruveH, BesselK.
Related package: NumericalMath`BesselZeros`.
Further Examples
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