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Convergent and asymptotic expansions of the Pearcey integral
dc.creator | López García, José Luis | es_ES |
dc.creator | Pagola Martínez, Pedro Jesús | es_ES |
dc.date.accessioned | 2018-12-14T12:04:11Z | |
dc.date.available | 2018-12-14T12:04:11Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | https://hdl.handle.net/2454/31768 | |
dc.description.abstract | We consider the Pearcey integral P(x; y) for large values of |x|, x, y ∈ C. We can find in the literature several convergent or asymptotic expansions in terms of elementary and special functions, with different levels of complexity. Most of them are based in analytic, in particular asymptotic, techniques applied to the integral definition of P(x; y). In this paper we consider a different method: the iterative technique used for differential equations in [Lopez, 2012]. Using this technique in a differential equation satisfied by P(x; y) we obtain a new convergent expansion analytically simple that is valid for any complex x and y and has an asymptotic property when |x|→ ∞ uniformly for y in bounded sets. The accuracy of the approximation is illustrated with some numerical experiments and compared with other expansions given in the literature. | en |
dc.description.sponsorship | The Universidad Pública de Navarra is acknowledged by its financial support. | en |
dc.format.extent | 12 p. | |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Elsevier | en |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 430 (2015) 181–192 | en |
dc.rights | © 2015 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license. | en |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Pearcey integral | en |
dc.subject | Third order differential equations | en |
dc.subject | Asymptotic expansions | en |
dc.subject | Green functions | en |
dc.subject | Fixed point theorems | en |
dc.title | Convergent and asymptotic expansions of the Pearcey integral | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | Artículo / Artikulua | es |
dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.identifier.doi | 10.1016/j.jmaa.2015.04.078 | |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmaa.2015.04.078 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |