From the Fourier transforms, Eqs. (15.22) and (15.23), show that the transformation 1 Inx iw-a-y leads to and- G(a)= - Fix F(x)= F(x)x-dx -| G(a)x da. 2xi Jy-100 These are the Mellin transforms. A similar change of variables is employed in Sec- tion 15.12 to derive the inverse Laplace transform.