The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain

At present, the fundamental solutions of the multidimensional singular elliptic equation are known and they are expressed in terms of the well-known Lauricella hypergeometric function of several variables. In this paper, we study the Dirichlet problem for an elliptic equation with several singular coefficients in an unbounded domain. When finding the solution to the posed problem, the expansion and summation formulas , as well as the limit relation for the Lauricella hypergeometric function of several variables are used.