About continued fractions expansions of metallic means

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dc.contributor.authorRedondo Buitrago, Antonia
dc.date.accessioned2024-07-12T20:52:03Z
dc.date.available2024-07-12T20:52:03Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIt is well known that the simple continued fraction expansion of the Metallic Means ?p;1; are periodic. We begin obtaining new better generalized periodic expansions for this Metallic subfamily. The odd powers of the Metallic Means have continued fraction expansions in terms of the certain generalized Lucas numbers. Each of this power is also some Metallic Mean. We prove that the even powers of the Metallic Means, are always the solution of a quadratic equation x² - mx + 1 = 0, where the parameter m is also defined by means of another generalized Lucas numbers, and from this result, directly we achieve the generalized continued fraction expansion of this even powers.en_US
dc.identifier.citationRedondo Buitrago, A. (2009). About continued fractions expansions of metallic means. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 33-34.en_US
dc.identifier.endpage34en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage33en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2518
dc.institutionauthorRedondo Buitrago, Antonia
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference on Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07902
dc.titleAbout continued fractions expansions of metallic meansen_US
dc.typeConference Object
dspace.entity.typePublication

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