Yes, I could use a different explanation for the RootSums, the one Mathematica gives doesn't help me much. The goal is to reduce this to as simple a form as possible because it still needs to be expressed as part of a larger vector field and differentiated, etc., before it will be useful in my...
I have a tricky integral of the form
∫∫[(L^4)((k_z)^2 + (k_p)^2)^2]/[(L^4)((k_z)^2 + (k_p)^2))^4 + (k_p)^2] * e^(i*k_z*z)*e^(i*k_p*cos(θ-θ_k))*dk_z*dk_p
which is arising in an inverse Fourier transform. I know that integrals somewhat like this appear in smectic liquid crystals but I can't...