Integral of Bessel functions combination?

[aymen10]

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)

or

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.

Thanks

 

[g_edgar]

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)

or

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.

Thanks

I see no reason to think there is a closed-form expression (not involving integrals) for that.