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The main result of the present paper is the construction of fundamentalsolutions for a class of multidimensional elliptic equations with threesingular coefficients, which could be expressed in terms of a confluenthypergeometric function of four variables. In addition, the order of thesingularity is determined and the properties of the found fundamental solutionsthat are necessary for solving boundary value problems for degenerate ellipticequations of second order are found.

On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients