Article
Proof without words: Periodic continued fractions
Authors
Abstract
In this paper, We give a generalization the resut of Roger B. Nelsen, by giving a closed form expression for x =
[ a0,a1,⋯,ak,b1,⋯bm¯ ],
$\left[ {{a}_{0}},{{a}_{1}},\cdots ,{{a}_{k}},\overline{{{b}_{1}},\cdots {{b}_{m}}} \right],$
Keywords
Continued fractions, periodic, proof without words, 65H04, 11Y65, 13M10
Citation
Chandoul, A. (2019). Proof without words: Periodic continued fractions. Applied Mathematics and Nonlinear Sciences, 4(1), 57–60. https://doi.org/10.2478/AMNS.2019.1.00006
A. Chandoul, “Proof without words: Periodic continued fractions,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, pp. 57–60, 2019, doi: 10.2478/AMNS.2019.1.00006.
Chandoul A. Proof without words: Periodic continued fractions. Applied Mathematics and Nonlinear Sciences. 2019;4(1):57–60. doi:10.2478/AMNS.2019.1.00006.
Chandoul, A. (2019), ‘Proof without words: Periodic continued fractions’, Applied Mathematics and Nonlinear Sciences, 4(1), pp. 57–60. Available at: https://doi.org/10.2478/AMNS.2019.1.00006.
Chandoul, Amara. “Proof Without Words: Periodic Continued Fractions.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, 2019, pp. 57–60. https://doi.org/10.2478/AMNS.2019.1.00006.
Chandoul, Amara. “Proof Without Words: Periodic Continued Fractions.” Applied Mathematics and Nonlinear Sciences 4, no. 1 (2019): 57–60. https://doi.org/10.2478/AMNS.2019.1.00006.
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Published by: Engineering Journals
