  We calculate the fibre integrals of the hypersurface in a torus in the form
of their Mellin transforms. Especially, our method works efficiently for an
affine hypersurface defined by a so called simpliciable polynomial. The
relations between poles of Mellin transforms of fibre integrals, the mixed
Hodge structure of the cohomology of the hypersurface, the hypergeometric
differential equation and the Euler characteristic of fibres are clarified.
