2018
DOI: 10.2478/ejaam-2018-0006
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## Abstract:Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the Dirichlet problem for an elliptic equation with several singular coefficients in explicit form. When finding a solution, we use decomposition formulas and some adjacent relations for the Lauricella hypergeometric function in many variables.

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##### Cited by 2 publications
(1 citation statement)
##### References 26 publications
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“…However, due to the recurrence of the formula (3.4), additional difficulties may arise in the applications of this expansion. Further study of the properties of operators (3.2) and (3.3) showed that formula (3.4) can be reduced to a more convenient form [21]…”
Section: Decomposition Formulasmentioning
confidence: 99%
“…However, due to the recurrence of the formula (3.4), additional difficulties may arise in the applications of this expansion. Further study of the properties of operators (3.2) and (3.3) showed that formula (3.4) can be reduced to a more convenient form [21]…”
Section: Decomposition Formulasmentioning
confidence: 99%