Hilbert Transform Calculation of a pulse

Can anybody help me with the Hilbert transform of the following pulse:
p(t) = frac{8Brho cos(2pi Bt+2pi Brho t)+frac{sin(2pi Bt-2pi Brho t)}{t}}{pisqrt{2B}(1-64(Brho t)^2)}

I tried by convolution of the above signal with $h(t) = 1/pi t$ but I am not able to simplify it.
Can anyone suggest an approach?