Iliev, A. and Kyurkchiev, N. (2019) New Organizing of the Euclid’s Algorithm and One of Its Applications to the Continued Fractions. Conference on Mathematics, Informatics, Information Technology, Application in Education, Pamporovo, 10-12 October 2018, 199-207.
https://www.researchgate.net/publication/333245

has been cited by the following article:

• TITLE: On Continued Fractions and Their Applications

  AUTHORS: Zakiya M. Ibran, Efaf A. Aljatlawi, Ali M. Awin

  KEYWORDS: Continued Fraction, Equation, Numerical Method, Roots, Series, Finite

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.1, January 21, 2022

  ABSTRACT: Continued fractions constitute a very important subject in mathematics. Their importance lies in the fact that they have very interesting and beautiful applications in many fields in pure and applied sciences. This review article will reveal some of these applications and will reflect the beauty behind their uses in calculating roots of real numbers, getting solutions of algebraic Equations of the second degree, and their uses in solving special ordinary differential Equations such as Legendre, Hermite, and Laguerre Equations; moreover and most important, their use in physics in solving Schrodinger Equation for a certain potential. A comparison will also be given between the results obtained via continued fractions and those obtained through the use of well-known numerical methods. Advances in the subject will be discussed at the end of this review article.