Guseinov, Gusein Sh.Mathematics2024-07-052024-07-0520151446-78871446-810710.1017/S14467887150000992-s2.0-84941024488https://doi.org/10.1017/S1446788715000099https://hdl.handle.net/20.500.14411/814In this paper, a detailed description of the resolvent of the Laplace-Beltrami operator in n-dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green's function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out.eninfo:eu-repo/semantics/openAccesshyperbolic spaceLaplace-Beltrami operatorGreen's functionresolventArticleQ3Q2992186206WOS:0003607045000040