Fundamental solutions of two multidimensional elliptic equations

Abstract

© 2018 Texas State University. We 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 6≠ 0. It is proved that the fundamental solutions found possess power-type singularity ρ2-nas ρ → 0.