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Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters

dc.contributor.authorGil Gómez, Amparo 
dc.contributor.authorOdrzywolek, Andrzej
dc.contributor.authorSegura Sala, José Javier 
dc.contributor.authorTemme, Nicolaas Maria 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2022-12-15T12:02:05Z
dc.date.available2022-12-15T12:02:05Z
dc.date.issued2023-02
dc.identifier.issn0010-4655
dc.identifier.otherPGC2018-098279-B-I00es_ES
dc.identifier.otherPID2021-127252NB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/26903
dc.description.abstractApproximations with Matlab implementations for the relativistic Fermi-Dirac integral and its partial derivatives are given in this paper. As the numerical tests show, the expansions allow to calculate the functions efficiently and with high accuracy for a large range of parameters. Therefore, our algorithms are expected to be a very useful tool, in combination with other methods, for building reliable and efficient software for computing the functions for all the parameters ranges.es_ES
dc.description.sponsorshipWe thank the referees for their constructive and helpful remarks. AG, JS and NMT thank financial support from projects PGC2018-098279-B-I00 funded by MCIN/AEI/10.13039/501100011033/ FEDER “Una manera de hacer Europa” and PID2021-127252NB-I00 funded by MCIN/AEI/10.13039/501100011033/ FEDER, UE. NMT thanks CWI Amsterdam for scientific support.es_ES
dc.format.extent9 p.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationales_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceComputer Physics Communications, 2023, 283, 108563es_ES
dc.subject.otherGeneralized Fermi-Dirac integrales_ES
dc.subject.otherRelativistic Fermi-Dirac integrales_ES
dc.subject.otherAsymptotic expansionses_ES
dc.subject.otherNumerical approximationses_ES
dc.subject.otherMatlab implementationses_ES
dc.titleEvaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameterses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1016/j.cpc.2022.108563es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1016/j.cpc.2022.108563
dc.type.versionpublishedVersiones_ES


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