Bifurcating Continued Fractions

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dc.creatorGupta, Ashok Kumar
dc.creatorMittal, Ashok Kumar
dc.date2000-02-27
dc.date.accessioned2026-07-07T04:34:05Z
dc.date.available2026-07-07T04:34:05Z
dc.descriptionThe notion of 'bifurcating continued fractions' is introduced. Two coupled sequences of non-negative integers are obtained from an ordered pair of positive real numbers in a manner that generalizes the notion of continued fractions. These sequences enable simple representations of roots of cubic equations. In particular, remarkably simple and elegant 'bifurcating continued fraction' representations of Tribonacci and Moore numbers, the cubic variations of the 'golden mean', are obtained. This is further generalized to associate m non-negative integer sequences with a set of m given real numbers so as to provide simple 'bifurcating continued fraction' representation of roots of polynomial equations of degree m+1.
dc.description12 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0002227
dc.identifierhttp://arxiv.org/abs/math/0002227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58771
dc.subjectGeneral Mathematics
dc.titleBifurcating Continued Fractions
dc.typetext

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