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dc.contributor.authorHasanov, A
dc.contributor.authorErgashev, T
dc.contributor.authorDjuraev, N
dc.date.accessioned2025-10-16T11:50:35Z
dc.date.available2025-10-16T11:50:35Z
dc.date.issued2025-03-11
dc.identifier.otherDOI: 10.29229/uzmj.2025-3-?
dc.identifier.urihttps://dspace.kstu.uz/xmlui/handle/123456789/481
dc.description.abstractIn this paper, hypergeometric function of Lauricella F(n) A has been investigated. The new properties of which are established and applied to the solution of the Dirichlet problem for the three-dimensional degenerate elliptic equation. Fundamental solutions of the named equation are expressed through the Lauricella hypergeometric function in three variables and an explicit solution of the Dirichlet problem in the rst octant is written out through the Appell hypergeometric function F2. A limit theorem for calculating the value of a function of many variables is proved, and formulas for their transformation are established. These results are used to determine the order of singularity of fundamental solutions and to prove the truth of the solution to the Dirichlet problem. The uniqueness of the solution to the Dirichlet problem is proved by the extremum principle for elliptic equations.en_US
dc.language.isoenen_US
dc.subjectAppell and Lauricella hypergeometric functions, three-dimensional degenerate elliptic equation, PDE-systems of hypergeometric type, fundamental solution, Dirichlet problemen_US
dc.titleLauricella hypergeometric function F(n) A with applications to the solving Dirichlet problem for three-dimensional degenerate ellipticen_US
dc.typeArticleen_US


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