Uniform approximations of the first symmetric elliptic integral in terms of elementary functions

Bujanda Cirauqui, Blanca; López García, José Luis; Pagola Martínez, Pedro Jesús; Palacios Herrero, Pablo

Publication:
Uniform approximations of the first symmetric elliptic integral in terms of elementary functions

dc.contributor.author	Bujanda Cirauqui, Blanca
dc.contributor.author	López García, José Luis
dc.contributor.author	Pagola Martínez, Pedro Jesús
dc.contributor.author	Palacios Herrero, Pablo
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.contributor.funder	Gobierno de Navarra / Nafarroako Gobernua	es
dc.date.accessioned	2022-01-17T12:47:53Z
dc.date.available	2022-01-17T12:47:53Z
dc.date.issued	2022
dc.description.abstract	We consider the standard symmetric elliptic integral RF(x, y, z) for complex x, y, z. We derive convergent expansions of RF(x, y, z) in terms of elementary functions that hold uniformly for one of the three variables x, y or z in closed subsets (possibly unbounded) of C\ (−∞, 0]. The expansions are accompanied by error bounds. The accuracy of the expansions and their uniform features are illustrated by means of some numerical examples.	en
dc.description.sponsorship	The financial support of the following entities is acknowledged: Ministerio de Economía y Competitividad, project MTM2017-83490-P; Ministerio de Ciencia, Innovación y Universidades, research grant RTI2018-095499-B-C31 IoTrain; Gobierno de Navarra, Grant 0011-1365-2019-000083 - SIAGUS; the European Union-European Regional Development Fund ERDF-FEDER.	en
dc.format.extent	17 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1007/s13398-021-01151-y
dc.identifier.issn	1578-7303
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/41789
dc.language.iso	eng	en
dc.publisher	Springer
dc.relation.ispartof	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 116 (1)
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83490-P/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-095499-B-C31/ES/	en
dc.relation.publisherversion	http://doi.org/10.1007/s13398-021-01151-y
dc.rights	© The Author(s) 2021. Creative Commons Attribution 4.0 International License	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	Convergent expansions	en
dc.subject	Error bounds	en
dc.subject	Symmetric standard elliptic integrals	en
dc.subject	Uniform expansions	en
dc.title	Uniform approximations of the first symmetric elliptic integral in terms of elementary functions	en
dc.type	info:eu-repo/semantics/article	en
dc.type	Artículo / Artikulua	es
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dspace.entity.type	Publication
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