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A convergent version of Watson’s lemma for double integrals
dc.creator | Ferreira González, Chelo | es_ES |
dc.creator | López García, José Luis | es_ES |
dc.creator | Pérez Sinusía, Ester | es_ES |
dc.date.accessioned | 2022-09-08T07:48:24Z | |
dc.date.available | 2022-09-08T07:48:24Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Chelo Ferreira, José L. López & Ester Pérez Sinusía (2022) A convergent version of Watson's lemma for double integrals, Integral Transforms and Special Functions, DOI: 10.1080/10652469.2022.2098955 | en |
dc.identifier.issn | 1065-2469 (Print) | |
dc.identifier.issn | 1476-8291 (Electronic) | |
dc.identifier.uri | https://hdl.handle.net/2454/43975 | |
dc.description.abstract | A modification of Watson’s lemma for Laplace transforms ∞ 0 f(t) e−zt dt was introduced in [Nielsen, 1906], deriving a new asymptotic expansion for large |z| 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 F(x, y) := ∞ 0 ∞ 0 f(t,s) e−xt−ys dt ds for large |x| and |y| that are also convergent. The expansions of F(x, y) are accompanied by error bounds. Asymptotic and convergent expansions of some specialfunctions are given as illustration. | en |
dc.description.sponsorship | Open access funding provided by Universidad Pública de Navarra | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Taylor & Francis | en |
dc.relation.ispartof | Integral Transforms and Special Functions (2022) | en |
dc.rights | © 2022 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License, which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way. | en |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Asymptotic expansions of integrals | en |
dc.subject | Watson’s lemma for double integrals | en |
dc.subject | Double Laplace transform | en |
dc.subject | Convergent expansions | en |
dc.subject | Special functions | en |
dc.title | A convergent version of Watson’s lemma for double integrals | en |
dc.type | Artículo / Artikulua | es |
dc.type | info:eu-repo/semantics/article | en |
dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.doi | 10.1080/10652469.2022.2098955 | |
dc.relation.publisherversion | https://doi.org/10.1080/10652469.2022.2098955 | |
dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
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La licencia del ítem se describe como © 2022 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License, which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.