On the convergence of complex continued fractions using complex analysis and linear algebra
Date of Publication
Bachelor of Science in Mathematics
College of Science
Mathematics and Statistics Department
This thesis is based on two articles, namely Convergence of Complex Continued Fractions by J. Marafino and T. McDevitt and Matrices, Continued Fractions, and Some Early History of Iteration Theory by M. Sormani. We used complex analysis and linear algebra to study the convergence of the complex continued fraction 1/c. 1+ c .... In both techniques, we have shown that it converges for all complex numbers c except those on the real line less than -1/4.
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Tin, K. T., & Vendiola, C. I. (2001). On the convergence of complex continued fractions using complex analysis and linear algebra. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17178