A Convergence Theorem for Continued Fractions of the Form K_{n=1}^{\infty}a_{n}/1

Authors

• James McLaughlin, West Chester University of PennsylvaniaFollow
• Nancy Wyshinski, Trinity College

Document Type

Article

Publication Date

7-1-2005

Abstract

In this paper we present a convergence theorem for continued fractions of the form K∞n=1an/1. By deriving conditions on the an which ensure that the odd and even parts of K∞n=1an/1 converge, these same conditions also ensure that they converge to the same limit. Examples will be given.

Comments

Containing the proceedings from the Conference on Orthogonal Functions and Related Topics, Roros, Norway, August 2003

Preprint version available here.

Publication Title

Journal of Computational and Applied Mathematics

Recommended Citation

McLaughlin, J., & Wyshinski, N. (2005). A Convergence Theorem for Continued Fractions of the Form K_{n=1}^{\infty}a_{n}/1. Journal of Computational and Applied Mathematics, 179(1-2), 255-262. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/67