Dear all,
I have recently come across the following Fourier transform (FT):
I=\int_{-\infty}^{\infty} dx \, e^{-\imath x t} \frac{(1-x^2)}{(1+x^2)^{3/2} (a^2+x^2)}.
The integrand contains two branch points on the imaginary axis, plus two poles also residing on the imaginary...