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Computational properties of three-term recurrence relations for Kummer functions

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorDeaño Cabrera, Alfredo
dc.contributor.authorSegura, Javier
dc.contributor.authorTemme, Nico M.
dc.date.accessioned2010-02-04T10:13:57Z
dc.date.available2010-02-04T10:13:57Z
dc.date.issued2010-01-15
dc.description6 pages, 3 figures.-- MSC2000 codes: 33C15; 39A11; 41A60; 65D20.-- Issue title: "Special Functions, Information Theory, and Mathematical Physics. Special issue dedicated to Professor Jesús Sánchez Dehesa on the occasion of his 60th birthday".
dc.descriptionZbl#: Zbl pre05650069
dc.description.abstractSeveral three-term recurrence relations for confluent hypergeometric functions are analyzed from a numerical point of view. Minimal and dominant solutions for complex values of the variable z are given, derived from asymptotic estimates of the Whittaker functions with large parameters. The Laguerre polynomials and the regular Coulomb wave functions are studied as particular cases, with numerical examples of their computation.
dc.description.sponsorshipThe authors acknowledge financial support from the Spanish Ministry of Education and Science (Ministerio de Educación y Ciencia), project MTM2006–09050. The first author acknowledges financial support from the program of postdoctoral research grants (Programa de becas postdoctorales) of the Spanish Ministry of Education and Science (Ministerio de Educación y Ciencia).
dc.description.statusPublicado
dc.format.mimetypetext/html
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 2010, vol. 233, n. 6, p. 1505-1510
dc.identifier.doi10.1016/j.cam.2008.03.051
dc.identifier.issn0377-0427
dc.identifier.urihttps://hdl.handle.net/10016/6737
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.cam.2008.03.051
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherKummer functions
dc.subject.otherConfluent hypergeometric functions
dc.subject.otherStability of recurrence relations
dc.subject.otherNumerical evaluation of special functions
dc.subject.otherAsymptotic analysis
dc.titleComputational properties of three-term recurrence relations for Kummer functions
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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