  Differintegral methods, currently exploited in calculus, provide a fairly
unexhausted source of tools to be applied to a wide class of problems involving
the theory of special functions and not only. The use of integral transforms of
Borel type and the associated formalism will be shown to be an effective means,
allowing a link between umbral and operational methods. We merge these two
points of view to get a new and efficient method to obtain integrals of special
functions and the summation of the associated generating functions as well.
