Fundamental solutions of two multidimensional elliptic equations

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dc.contributor.authorGaripov, Ilnur
dc.contributor.authorMavlyaviev, Rinat
dc.date.accessioned2022-02-02T15:37:05Z
dc.date.available2022-02-02T15:37:05Z
dc.date.issued2018-04-28
dc.description.abstractWe construct fundamental solutions for two-multidimensional elliptic equations. The solutions are written in explicit form via hypergeometric Gauss functions for λ = 0 and via confluent Horn functions for λ ≠ 0. It is proved that the fundamental solutions found possess power-type singularity ρ2-n as ρ → 0.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGaripov, I., & Mavlyaviev, R. (2018). Fundamental solutions of two multidimensional elliptic equations. <i>Electronic Journal of Differential Equations, 2018</i>(100), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15267
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFundamental solution
dc.subjectHypergeometric Gauss function
dc.subjectConfluent Horn function
dc.subjectTransmutation operator
dc.titleFundamental solutions of two multidimensional elliptic equations
dc.typeArticle

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