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Fundamental solutions for a class of multidimensional elliptic equations withseveral singular coefficients were constructed recently. These fundamentalsolutions are directly connected with multiple Lauricella hypergeometricfunction and the decomposition formula is required for their investigationwhich would express the multivariable hypergeometric function in terms ofproducts of several simpler hypergeometric functions involving fewer variables.In this paper, some relations following from the decomposition formula for onemultidimensional Lauricell hypergeometric function are determined.

Some relations following from the decomposition formula for one multidimensional Lauricella hypergeometric function