Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T07:30:53.403Z Has data issue: false hasContentIssue false

On Recurring Continued Fractions

Published online by Cambridge University Press:  03 November 2016

Extract

Notation. By (x/y, X/Y) = a1.a2a3 … are let it be understood that after a vulgar fraction X/Y has been converted into a continued fraction (CF.), a1.a2a3 … are the partial quotients, and x/y is the penultimate convergent. The point placed after a1 is intended to show that, in the case of a proper fraction, the first partial quotient must be taken as zero.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1934

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)