000118722 001__ 118722 000118722 005__ 20241125101126.0 000118722 0247_ $$2doi$$a10.1080/10652469.2022.2098955 000118722 0248_ $$2sideral$$a130140 000118722 037__ $$aART-2023-130140 000118722 041__ $$aeng 000118722 100__ $$0(orcid)0000-0002-3698-6719$$aFerreira, C.$$uUniversidad de Zaragoza 000118722 245__ $$aA convergent version of Watson''s lemma for double integrals 000118722 260__ $$c2023 000118722 5060_ $$aAccess copy available to the general public$$fUnrestricted 000118722 5203_ $$aA 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. 000118722 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000118722 590__ $$a0.7$$b2023 000118722 592__ $$a0.597$$b2023 000118722 591__ $$aMATHEMATICS$$b218 / 490 = 0.445$$c2023$$dQ2$$eT2 000118722 593__ $$aApplied Mathematics$$c2023$$dQ2 000118722 591__ $$aMATHEMATICS, APPLIED$$b237 / 332 = 0.714$$c2023$$dQ3$$eT3 000118722 593__ $$aAnalysis$$c2023$$dQ2 000118722 594__ $$a2.2$$b2023 000118722 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000118722 700__ $$aLópez, José L. 000118722 700__ $$0(orcid)0000-0002-8021-2745$$aPérez Sinusía, Ester$$uUniversidad de Zaragoza 000118722 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000118722 773__ $$g34, 3 (2023), 196-210$$pIntegral transforms spec. funct.$$tIntegral transforms and special functions$$x1065-2469 000118722 8564_ $$s1881157$$uhttps://zaguan.unizar.es/record/118722/files/texto_completo.pdf$$yVersión publicada 000118722 8564_ $$s914801$$uhttps://zaguan.unizar.es/record/118722/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000118722 909CO $$ooai:zaguan.unizar.es:118722$$particulos$$pdriver 000118722 951__ $$a2024-11-22-11:57:39 000118722 980__ $$aARTICLE