The Dirichlet Problem for an Elliptic Equation with Several Singular Coefficients in an Infinite Domain
Tuhtasin ErgashevTashkent institute of irrigation and agricultural mechanization engineers, 39 Kari Niyazi str., 100000, Tashkent, Republic of UzbekistanZ. R. TulakovaFergana Branch of the Tashkent University of Information Technologies, 185 Mustakillik str., 100118, Fergana, Republic of Uzbekistan
ABI
Аннотация
At present, the fundamental solutions of the multidimensional singular elliptic equation are known and they are expressed in terms of the well-known Lauricella hypergeometric function of several variables. In this paper, we study the Dirichlet problem for an elliptic equation with several singular coefficients in an unbounded domain. When finding the solution to the posed problem, the expansion and summation formulas are used, as well as the limit relation for the Lauricella hypergeometric function of many variables.
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