  HYPERDIRE is a project devoted to the creation of a set of Mathematica based
programs for the differential reduction of hypergeometric functions. The
current version includes two parts: the first one, FdFunction, for
manipulations with Appell hypergeometric functions $F_D$ of $r$ variables; and
the second one, FsFunction, for manipulations with Lauricella-Saran
hypergeometric functions $F_S$ of three variables. Both functions are related
with one-loop Feynman diagrams.
  The published version includes also Chapter 5 with two theorems about
structure of coefficients of epsilon-expansion of the Horn-type hypergeometric
functions. As illustration, the first three coefficients of epsilon-expansion
for the Appell hypergeometric function FD of r-variables are explicitly
evaluated.
