On computation of the diagram of the wave, scattered by the vertex of a cone of arbitrary shape

A method of computation (a version of Abel–Poisson method of summation of divergent series) of the diagram of the wave scattered by the vertex of a cone of arbitrary shape is justified. Applying the techniques of parabolic operators it is shown that the approximation, as well as all its derivatives, converges uniformly in the domain of regularity of scattering amplitude.