Garipov, IlnurMavlyaviev, Rinat2022-02-022022-02-022018-04-28Garipov, I., & Mavlyaviev, R. (2018). Fundamental solutions of two multidimensional elliptic equations. <i>Electronic Journal of Differential Equations, 2018</i>(100), pp. 1-12.1072-6691https://hdl.handle.net/10877/15267We 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalFundamental solutionHypergeometric Gauss functionConfluent Horn functionTransmutation operatorArticle