On the analytic continuation of the Lauricella function $F_D^{(N)}$статья
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Дата последнего поиска статьи во внешних источниках: 26 сентября 2016 г.
Аннотация:For the generalized Lauricellafunction we construct a complete system of analytic continuation formulae at the exteriour of the unit polydisk, in which it is originally defined as multiple hypergeometric series. There isrepresented a set of canonical solutions for the system of partial differential for the Lauricella function, which is multidimensional generalization for Kummer's solutions well-known in clsiical theory of the hypergeometric Gauss equation. The obtained results can be applied to many physical problems, in particular to contemporary problems in plasma physics.