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Integral of Bessel functions combination?

  1. Oct 6, 2009 #1
    I want to ask if you how to compute such integral like:

    int(t**2*BesselJ(1,a*t)*BesselJ(1,b*t)*BesselJ(1,c*t), t=1..w)


    int(t**3*BesselJ(1,a*t)*BesselJ(1,b*t)*BesselJ(1,c*t)*BesselJ(1,d*t), t=1..w)

    The same question if any BesselJ is replaced by BesselY.

  2. jcsd
  3. Oct 8, 2009 #2
    I see no reason to think there is a closed-form expression (not involving integrals) for that.
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