doi:10.1080/10652469.2022.2098955engFerreira, C.López, José L.Pérez Sinusía, EsterA convergent version of Watson''s lemma for double integralsART-2023-130140A modification of Watson''s lemma for Laplace transforms (Formula presented.) was introduced in Nielsen, 1906], deriving a new asymptotic expansion for large (Formula presented.) with the extra property of being convergent as well. Inspired in that idea, in this paper we derive asymptotic expansions of two-dimensional Laplace transforms (Formula presented.) for large (Formula presented.) and (Formula presented.) that are also convergent. The expansions of (Formula presented.) are accompanied by error bounds. Asymptotic and convergent expansions of some special functions are given as illustration.2023http://zaguan.unizar.es/record/11872210.1080/10652469.2022.2098955http://zaguan.unizar.es/record/118722oai:zaguan.unizar.es:118722Integral transforms and special functions 34, 3 (2023), 196-210by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess