New series expansions of the 3F2 function

López García, José Luis; Pagola Martínez, Pedro Jesús; Pérez Sinusía, Ester

Publication:
New series expansions of the 3F2 function

dc.contributor.author	López García, José Luis
dc.contributor.author	Pagola Martínez, Pedro Jesús
dc.contributor.author	Pérez Sinusía, Ester
dc.contributor.department	Ingeniería Matemática e Informática	es_ES
dc.contributor.department	Matematika eta Informatika Ingeniaritza	eu
dc.date.accessioned	2020-10-28T10:15:22Z
dc.date.available	2020-10-28T10:15:22Z
dc.date.issued	2015
dc.description	Esta es la versión no revisada del artículo: José L. López, Pedro Pagola, Ester Pérez Sinusía, New series expansions of the 3F2 function. J. Math. Anal. Appl, 421 (2015) 982-995. Pages 982-995, ISSN 0022-247X. Se puede consultar la versión publicada en https://doi.org/10.1016/j.jmaa.2014.07.065.	en
dc.description.abstract	We can use the power series definition of 3F2(a1, a2, a3; b1, b2; z) to compute this function for z in the unit disk only. In this paper we obtain new expansions of this function that are convergent in larger domains. Some of these expansions involve the polynomial 3F2(a1,−n, a3; b1, b2; z) evaluated at certain points z. Other expansions involve the Gauss hypergeometric function 2F1. The domain of convergence is sometimes a disk, other times a half-plane, other times the region \|z\|2 < 4\|1 − z\|. The accuracy of the approximation given by these expansions is illustrated with numerical experiments.	en
dc.description.sponsorship	The authors acknowledge Dirección General de Ciencia y Tecnología (grant No. MTM2010-21037) for financial support.	en
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1016/j.jmaa.2014.07.065
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/38529
dc.language.iso	eng	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.subject	Generalized hypergeometric function 3F2	en
dc.subject	Approximation by 2F1 functions	en
dc.subject	Convergent series expansions	en
dc.title	New series expansions of the 3F2 function	en
dc.type	Artículo / Artikulua	es
dc.type	info:eu-repo/semantics/article	en
dc.type.version	Versión enviada / Bidali den bertsioa	es
dc.type.version	info:eu-repo/semantics/submittedVersion	en
dspace.entity.type	Publication
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