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Uniformly convergent expansions for the generalized hypergeometric functions p –1Fp and pFp
dc.creator | López García, José Luis | es_ES |
dc.creator | Pagola Martínez, Pedro Jesús | es_ES |
dc.creator | Karp, D. B. | es_ES |
dc.date.accessioned | 2020-07-09T09:51:36Z | |
dc.date.available | 2021-04-20T23:00:14Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1065-2469 | |
dc.identifier.uri | https://hdl.handle.net/2454/37317 | |
dc.description.abstract | We derive a convergent expansion of the generalized hypergeometric function p−1 F p in terms of the Bessel functions 0 F 1 that holds uniformly with respect to the argument in any horizontal strip of the complex plane. We further obtain a convergent expansion of the generalized hypergeometric function p F p in terms of the confluent hypergeometric functions 1 F 1 that holds uniformly in any right half-plane. For both functions, we make a further step forward and give convergent expansions in terms of trigonometric, exponential and rational functions that hold uniformly in the same domains. For all four expansions we present explicit error bounds. The accuracy of the approximations is illustrated by some numerical experiments. | en |
dc.description.sponsorship | The authors López and Pagola acknowledge the Spanish Ministry of Economía, Industria y Competitividad, project MTM2017-83490-P (REF. MTM2017-83490-P) for its financial support. | en |
dc.format.extent | 16 p. | |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Taylor & Francis | en |
dc.relation.ispartof | Integral Transforms and Special Functions, 2020 | en |
dc.subject | Generalized hypergeometric function | en |
dc.subject | Bessel function | en |
dc.subject | Kummer function | en |
dc.subject | Convergent expansions | en |
dc.subject | Uniform expansions | en |
dc.title | Uniformly convergent expansions for the generalized hypergeometric functions p –1Fp and pFp | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | Artículo / Artikulua | es |
dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.embargo.terms | 2021-04-20 | |
dc.identifier.doi | 10.1080/10652469.2020.1752687 | |
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.publisherversion | https://doi.org/10.1080/10652469.2020.1752687 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.type.version | Versión aceptada / Onetsi den bertsioa | es |