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dc.contributor.authorBagdasar, Ovidiu
dc.contributor.authorLarcombe, Peter J.
dc.date.accessioned2016-11-21T16:07:53Z
dc.date.available2016-11-21T16:07:53Z
dc.date.issued2013-02-01
dc.identifier.citationBagdasar, O. and Larcombe, P. J. (2013) 'On the characterization of periodic complex Horadam sequences', Fibonacci Quarterly, 51 (1), pp. 28-37en
dc.identifier.issn0015-0517
dc.identifier.urihttp://hdl.handle.net/10545/620939
dc.description.abstractHoradam sequences are second-order linear recurrence sequences which depend on a family of four parameters (two in the defining recursion itself, and two initial values). In this article we find necessary and sufficient conditions for the periodicity of complex Horadam sequences, under general initial values, characterizing sequence behavior for degenerate and non-degenerate characteristic solution types. Inner and outer boundaries for regions containing periodic orbits are also determined.
dc.language.isoenen
dc.publisherFibonacci Associationen
dc.relation.urlhttp://www.fq.math.ca/51-1.htmlen
dc.relation.urlhttp://www.fq.math.ca/index.htmlen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectRecurrent sequencesen
dc.subjectFibonacci numbersen
dc.subjectPeriodic sequencesen
dc.titleOn the characterization of periodic complex Horadam sequencesen
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalFibonacci Quarterlyen
html.description.abstractHoradam sequences are second-order linear recurrence sequences which depend on a family of four parameters (two in the defining recursion itself, and two initial values). In this article we find necessary and sufficient conditions for the periodicity of complex Horadam sequences, under general initial values, characterizing sequence behavior for degenerate and non-degenerate characteristic solution types. Inner and outer boundaries for regions containing periodic orbits are also determined.


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