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.
Publication Title
Journal of Computational and Applied Mathematics
ISSN
0377-0427
Publisher
Elsevier
Volume
179
Issue
1-2
First Page
255
Last Page
262
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
Comments
Containing the proceedings from the Conference on Orthogonal Functions and Related Topics, Roros, Norway, August 2003
Preprint version available here.