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Seismic velocity is an important aspect in seismic exploration, it is found that anisotropic properties of media will cause a velocity variations for different directions. Anisotropy properties of media are studied through reflected P wave function but here we will introduce an approach using a diffraction function. A polynomial equation which relates travel time of a transverse P wave diffraction to anisotropy parameters has been derived for a weak anisotropic medium, with delta and epsilon absolute parameter values less than 1. A mathematical test of the polynomial diffraction equation has been done. The result shows that there are inaccuracies caused by distance between the original source on the surface to the projected diffraction point on the surface. Thus, it is necessary a correction prior applying the equation to real data. The application of anisotropy parameters in pre-stack depth migration gives better result in the case of dipping layers.