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how to get the fourier transform of (1+at^2)^-n ? n is a natural number such that (n>1) and a is any positive number.
i.e. ∫((1+at^2)^-n)*exp(-jωt)dt; limits of integration goes from -∞ to ∞
i.e. ∫((1+at^2)^-n)*exp(-jωt)dt; limits of integration goes from -∞ to ∞