On Continued Fractions and Their Applications

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