On Recurring Continued Fractions

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1934 English Publisher:Informa UK LimitedJournal:The Mathematical Gazette, volume 18, pages 35-39 (issn: 0025-5572, eissn: 2056-6328,

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Authors: Orfeur, H.;

doi: 10.2307/3607646

On Recurring Continued Fractions

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Abstract

Notation . By ( x/y, X/Y ) = a 1 . a 2 a 3 … are let it be understood that after a vulgar fraction X/Y has been converted into a continued fraction (CF.), a 1 . a 2 a 3 … are the partial quotients, and x/y is the penultimate convergent. The point placed after a 1 is intended to show that, in the case of a proper fraction, the first partial quotient must be taken as zero.

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