I've noticed it is not in Erledyi or Gradsteyn, although the cosine version is in the first (page 26 eq.33). I've tried using the substitution $x=a\cdot \sinh(z)$ to avoid a square root I would also like to know the fourier sine transform of the sine and cosine form
I need the Fourier cosine transform of $\frac{\sin(b\sqrt{a^2+x^2})}{a^2+x^2}$
H.Davies
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