Properties of the coefficients of an integral operator

In this paper, we determine properties of the coefficients of the integral operator G_{α1, α2},...,αn,β . We want to see if some results obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation g(z)=1f(1z) g\left( z \right) = {1 \over {f\left( {{1 \over z}} \right)}} .