MathGroup Archive 1999

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bug in Integrate[]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg20936] bug in Integrate[]
  • From: Edward Goldobin <gold at isitel1.isi.kfa-juelich.de>
  • Date: Wed, 1 Dec 1999 01:50:04 -0500 (EST)
  • Organization: Research Center Juelich GmbH
  • Sender: owner-wri-mathgroup at wolfram.com

Integrate[
  BesselJ[2 i + 1, A Sin[t]] Sin[t], {t, 0, 2 Pi}, 
  Assumptions -> i \[Element] Integers] 

It gives 0 if A>0. Rather strange condition huh? Esp. if one
thinks about symmetry of Bessel function.

Anyway, if I put a number (e.g. 3) instead of i, v4.0 gives
other result:
(A^3*Pi*HypergeometricPFQ[{5/2}, {3, 4}, A^2/4])/64

Any clue?
Edward


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