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Continued fractions for linear fractional transformations of power series

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 11, pages 45-55 (issn: 1071-5797, Copyright policy )
Authors: Kwankyu Lee;

doi: 10.1016/j.ffa.2004.04.002

Continued fractions for linear fractional transformations of power series

Abstract

The author gives us an algorithm for obtaining the continued fraction transformation of a power series. In section 4, at the end of the paper, an application to algebraic power series is presented.

Related Organizations
Keywords

linear fractional transformation, Algebra and Number Theory, Continued fractions and generalizations, Continued fractions, Applied Mathematics, Approximation to algebraic numbers, Linear fractional transformation, Power series, Formal power series rings, Continued fraction, continued fraction, Theoretical Computer Science, power series, Continued fraction calculations (number-theoretic aspects), Engineering(all)

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
hybrid