The theoretical computing of special values assumed by the hypergeometric
functions has a high interest not only on its own, but also in sight of the
remarkable implications to both pure Mathematics and Mathematical Physics.
Accordingly, in this paper we continue the path of research started in two
our previous papers appeared on [30] and [31] providing some contribution to
such functions computability inside and outside their disk of convergence. This
is accomplished through two different approaches. The first is to provide some
new results in the spirit of theorem 3.1 of 31] obtaining formulae for
multivariable hypergeometric functions by generalizing a well known Kummer's
identity to the hypergeometric functions of two or more variable like those of
Appell and Lauricella.Comment: 21 pages. Sixth version. To appear in Journal of Mathematical
Analysis and Application
