A Geometric Representation of Continued Fractions

DOI10.4169/AMER.MATH.MONTHLY.121.05.391zbMath1316.40002OpenAlexW1549237067WikidataQ58139570 ScholiaQ58139570MaRDI QIDQ2928635

Ian Short, Alan F. Beardon

Publication date: 10 November 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: http://oro.open.ac.uk/35905/8/__userdata_documents4_ctb44_Desktop_amer.math.monthly.121.05.391-short.pdf

zbMATH Keywords

continued fractionMöbius mapsgroup of Möbius transformations

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Continued fractions and generalizations (11J70) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Metric theory of continued fractions (11K50) Convergence and divergence of continued fractions (40A15)

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