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Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments

dc.contributor.authorGil Gómez, Amparo 
dc.contributor.authorRuiz Antolín, Diego 
dc.contributor.authorSegura Sala, José Javier 
dc.contributor.authorTemme, Nicolaas Maria 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2023-09-21T15:09:23Z
dc.date.available2023-09-21T15:09:23Z
dc.date.issued2023
dc.identifier.issn1017-1398
dc.identifier.issn1572-9265
dc.identifier.otherPGC2018-098279-B-I00es_ES
dc.identifier.otherPID2021-127252NB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/29985
dc.description.abstractAn algorithm and a MATLAB implementation for computing the Kummer function U(a,b,x) and its derivative is given in this paper. The algorithm is efficient and accurate. Numerical tests show that the MATLAB algorithm allows the computation of the function with ?10?14 relative accuracy in the parameter region (a,b,x) ? (0,500) × (0,500) × (0,1000) in double-precision floating point arithmetices_ES
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The authors acknowledge financial support from project 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.es_ES
dc.format.extent11 p.es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsAttribution 4.0 Internationales_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceNumerical Algorithms, 2023, 94, 669-679es_ES
dc.subject.otherKummer functiones_ES
dc.subject.otherNumerical computationes_ES
dc.subject.otherMATLAB softwarees_ES
dc.titleComputation of the confluent hypergeometric function U(a,b,x) and its derivative for positive argumentses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1007/s11075-023-01515-yes_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1007/s11075-023-01515-y
dc.type.versionpublishedVersiones_ES


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