  The differential-reduction algorithm, which allows one to express generalized
hypergeometric functions with parameters of arbitrary values in terms of such
functions with parameters whose values differ from the original ones by
integers, is discussed in the context of evaluating Feynman diagrams. Where
this is possible, we compare our results with those obtained using standard
techniques. It is shown that the criterion of reducibility of multiloop Feynman
integrals can be reformulated in terms of the criterion of reducibility of
hypergeometric functions. The relation between the numbers of master integrals
obtained by differential reduction and integration by parts is discussed.
