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Linear combination of Bessel functions


Suppose I have an expression that's a linear combination of Bessel
function. Kind of like this

r^2 + Cos[r] BesselJ[0, rho r] + 3 Sin[r] BesselJ[1, rho r] + Log[r]
BesselJ[2, rho r]

Is there a way to extract the coefficients of the linear combination?



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