118722 20241125101126.0 doi 10.1080/10652469.2022.2098955 sideral 130140 ART-2023-130140 eng Ferreira, C. Universidad de Zaragoza (orcid)0000-0002-3698-6719 A convergent version of Watson''s lemma for double integrals 2023 Access copy available to the general public Unrestricted A 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. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.7 2023 MATHEMATICS 218 / 490 = 0.445 2023 Q2 T2 MATHEMATICS, APPLIED 237 / 332 = 0.714 2023 Q3 T3 0.597 2023 Applied Mathematics 2023 Q2 Analysis 2023 Q2 2.2 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion López, José L. Pérez Sinusía, Ester Universidad de Zaragoza (orcid)0000-0002-8021-2745 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 34, 3 (2023), 196-210 Integral transforms spec. funct. Integral transforms and special functions 1065-2469 1881157 http://zaguan.unizar.es/record/118722/files/texto_completo.pdf Versión publicada 914801 http://zaguan.unizar.es/record/118722/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118722 articulos driver 2024-11-22-11:57:39 ARTICLE