  The main result of the present paper is the construction of fundamental
solutions for a class of multidimensional elliptic equations with three
singular coefficients, which could be expressed in terms of a confluent
hypergeometric function of four variables. In addition, the order of the
singularity is determined and the properties of the found fundamental solutions
that are necessary for solving boundary value problems for degenerate elliptic
equations of second order are found.
