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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 7, Pages 81–91
DOI: https://doi.org/10.26907/0021-3446-2021-7-81-91 (Mi ivm9697) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain

T. G. Ergashevab, Z. R. Tulakovac

a V.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences, 81 Mirzo Ulugbek str., Tashkent, 100170 Republic of Uzbekistan
b Tashkent institute of irrigation and agricultural mechanization engineers, 39 Kari Niyazi str., Tashkent, 100000 Republic of Uzbekistan
c Fergana Branch of the Tashkent University of Information Technologies, 185 Mustakillik str., Fergana, 100118 Republic of Uzbekistan
Full-text PDF (423 kB) Citations (4)
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DOI: https://doi.org/10.26907/0021-3446-2021-7-81-91
Abstract: 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 , as well as the limit relation for the Lauricella hypergeometric function of several variables are used.
Keywords: Dirichlet problem, multidimensional elliptic equations with several singular coefficients, decomposition formulas, Lauricella hypergeometric function of many variables.
Received: 02.08.2020
Revised: 02.08.2020
Accepted: 01.10.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 7, Pages 71–80
DOI: https://doi.org/10.3103/S1066369X21070082
Document Type: Article
UDC: 517.946
Language: Russian
Citation: T. G. Ergashev, Z. R. Tulakova, “The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 81–91; Russian Math. (Iz. VUZ), 65:7 (2021), 71–80
Citation in format AMSBIB
\Bibitem{ErgTul21}
\by T.~G.~Ergashev, Z.~R.~Tulakova
\paper The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 7
\pages 81--91
\mathnet{http://mi.mathnet.ru/ivm9697}
\crossref{https://doi.org/10.26907/0021-3446-2021-7-81-91}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 7
\pages 71--80
\crossref{https://doi.org/10.3103/S1066369X21070082}
Linking options:
  • https://www.mathnet.ru/eng/ivm9697
  • https://www.mathnet.ru/eng/ivm/y2021/i7/p81
    • This publication is cited in the following 4 articles:
    1. Otadavlat Nasriddinov, Jamoliddin Abdullayev, Dilnavoz Jo'rayeva, Nasiba Botirova, Oybek Maniyozov, Odilakhon Isomiddinova, V. Tsypko, S. Yekimov, A. Bieliatynskyi, “In biology, solving a problem coming to a differential equation in the maple program”, E3S Web of Conf., 508 (2024), 04006  crossref
    2. T. G. Ergashev, A. Hasanov, T. K. Yuldashev, “Some Infinite Expansions of the Lauricella Functions and Their Application in the Study of Fundamental Solutions of a Singular Elliptic Equation”, Lobachevskii J Math, 45:3 (2024), 1072  crossref
    3. T. G. Ergashev, Z. R. Tulakova, “A problem with mixed boundary conditions for a singular elliptic equation in an infinite domain”, Russian Math. (Iz. VUZ), 66:7 (2022), 51–63  mathnet  crossref  crossref
    4. T. G. Ergashev, Z. R. Tulakova, “The Neumann Problem for a Multidimensional Elliptic Equation with Several Singular Coefficients in an Infinite Domain”, Lobachevskii J Math, 43:1 (2022), 199  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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