2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/422There is increasing interest in extended source effects in microlensing events, as probes of the unresolved sources. Previous work has either presumed a uniform source, or else required an approximate or numerical treatment of the amplification function averaged over the source disk. In this paper, I present analytic expressions for the angle-averaged amplification functions for the rotationally-symmetric intensity and polarization cases. These integrals will allow us to use the technology of inverse problems to study the source limb-darkening and limb-polarization functions.5 pages, 4 figures, submittedAstrophysicstext