On the Analytic Continuation of the Lauricella Function F~(N)_D

摘要

1. In this paper, we construct formulas of analytic continuation for the generalized hypergeometric function F~(N)_D(a_1,...a_N;b,c;z1,...,Z_n), which was introduced by Lauricella. This function depends on N complex variables z_1,..., z_N and on complex parameters a_1,..., a_N, b and c and is defined as the N-multiple series (see).