HYPERDIRE

 HYPERDIRE   is a set of  Wolfram Mathematica based programs for differential reduction of Horn  type hypergeometrical functions.

You could find here tutorial materials and here  installiation tips  

Now HYPERDIRE   includes the following list of packages:

• pfq is relevant to manipulation with hypergeometrical functions (p+1)F(p) 

• AppellF1F4  is relevant to manipulation with Appell`s hypergeometric functions of two variables F1, F2,F3,F4

• HornFunctions is relevant to manipulation with all 34 Horn functions of two variables

• FdFunction is relevant to manipulation with Fd Appell hypergeometrical function of  r variables

• FsFunction is relevant to manipulation with Fs Appell hypergeometrical function of  three variables

• FcFunction is relevant to manipulation with Fc Appell hypergeometrical function of  three variables