Holmgren problem for Helmholtz equation with the three singular coefficients
Fundamental solutions for a multidimensional Helmholtz equation with three singular coefficients have been constructed recently which are expressed in terms of the confluent hypergeometric function in four variables. In this paper, we study the Holmgren problem for a 3D elliptic equation with three...
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| Format: | Article |
| Language: | English |
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EJAAM
2019-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0002.pdf |
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| author | Davlatjon R. Muydinjanov |
| author_facet | Davlatjon R. Muydinjanov |
| author_sort | Davlatjon R. Muydinjanov |
| collection | DOAJ |
| description | Fundamental solutions for a multidimensional Helmholtz equation with three singular coefficients have been constructed recently which are expressed in terms of the confluent hypergeometric function in four variables. In this paper, we study the Holmgren problem for a 3D elliptic equation with three singular coefficients. A unique solution of the problem is obtained in the explicit form. |
| format | Article |
| id | doaj-art-1a8b5f9dc73c4c2eb8edf9f3795a549d |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-1a8b5f9dc73c4c2eb8edf9f3795a549d2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902019-12-01201910.2478/ejaam-2019-0002Holmgren problem for Helmholtz equation with the three singular coefficientsDavlatjon R. Muydinjanov0Kokand State Pedagogical Institute named after Mukimi, Kokand, Fergana, UzbekistanFundamental solutions for a multidimensional Helmholtz equation with three singular coefficients have been constructed recently which are expressed in terms of the confluent hypergeometric function in four variables. In this paper, we study the Holmgren problem for a 3D elliptic equation with three singular coefficients. A unique solution of the problem is obtained in the explicit form.https://ejaam.org/articles/2019/10.2478-ejaam-2019-0002.pdfholmgren problemmultidimensional elliptic equations with three singular coefficientsdecomposition formulaslauricella hypergeometric function in three variablesconfluent hypergeometric function in four variables |
| spellingShingle | Davlatjon R. Muydinjanov Holmgren problem for Helmholtz equation with the three singular coefficients E-Journal of Analysis and Applied Mathematics holmgren problem multidimensional elliptic equations with three singular coefficients decomposition formulas lauricella hypergeometric function in three variables confluent hypergeometric function in four variables |
| title | Holmgren problem for Helmholtz equation with the three singular coefficients |
| title_full | Holmgren problem for Helmholtz equation with the three singular coefficients |
| title_fullStr | Holmgren problem for Helmholtz equation with the three singular coefficients |
| title_full_unstemmed | Holmgren problem for Helmholtz equation with the three singular coefficients |
| title_short | Holmgren problem for Helmholtz equation with the three singular coefficients |
| title_sort | holmgren problem for helmholtz equation with the three singular coefficients |
| topic | holmgren problem multidimensional elliptic equations with three singular coefficients decomposition formulas lauricella hypergeometric function in three variables confluent hypergeometric function in four variables |
| url | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0002.pdf |
| work_keys_str_mv | AT davlatjonrmuydinjanov holmgrenproblemforhelmholtzequationwiththethreesingularcoefficients |