Analytic formulas for the evaluation of the Pearcey integral

López García, José Luis; Pagola Martínez, Pedro Jesús

Publication:
Analytic formulas for the evaluation of the Pearcey integral

dc.contributor.author	López García, José Luis
dc.contributor.author	Pagola Martínez, Pedro Jesús
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.contributor.funder	Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa	es
dc.date.accessioned	2018-12-14T12:04:14Z
dc.date.available	2018-12-14T12:04:14Z
dc.date.issued	2017
dc.description.abstract	We can find in the literature several convergent and/or asymptotic expansions of the Pearcey integral P(x, y) in different regions of the complex variables x and y, but they do not cover the whole complex x and y planes. The purpose of this paper is to complete this analysis giving new convergent and/or asymptotic expansions that, together with the known ones, cover the evaluation of the Pearcey integral in a large region of the complex x and y planes. The accuracy of the approximations derived in this paper is illustrated with some numerical experiments. Moreover, the expansions derived here are simpler compared with other known expansions, as they are derived from a simple manipulation of the integral definition of P(x, y).	en
dc.description.sponsorship	This research was supported by the Spanish Ministry of “Economía y Competitividad”, project MTM2014-52859-P. The Universidad Pública de Navarra is acknowledged for its financial support.	en
dc.format.extent	10 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1090/mcom/3164
dc.identifier.issn	0025-5718 (Print)
dc.identifier.issn	1088-6842 (Electronic)
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/31773
dc.language.iso	eng	en
dc.publisher	American Mathematical Society	en
dc.relation.ispartof	Mathematics of Computation, 86 (2017), 2399-2407	en
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1090/mcom/3164
dc.rights	© Copyright 2016 American Mathematical Society	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.subject	Pearcey integral	en
dc.subject	Convergent and asymptotic expansions	en
dc.subject	Watson lemma	en
dc.title	Analytic formulas for the evaluation of the Pearcey integral	en
dc.type	info:eu-repo/semantics/article
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
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