Title

On the convergence of complex continued fractions using complex analysis and linear algebra

Date of Publication

2001

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10740

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

58 leaves

This document is currently not available here.

Share

COinS