The Convergence and Divergence of q-Continued Fractions outside the Unit Circle

Authors

Douglas Bowman, Northern Illinois University
James McLaughlin, West Chester University of PennsylvaniaFollow

Document Type

Article

Publication Date

2006

Abstract

We consider two classes of q-continued fraction whose odd and even parts are limit 1-periodic for |q| > 1, and give theorems which guarantee the convergence of the continued fraction, or of its odd- and even parts, at points outside the unit circle.

Publication Title

Rocky Mountain Journal of Mathematics

ISSN

0035-7596

Publisher

Rocky Mountain Mathematics Consortium

Volume

36

Issue

3

First Page

799

Last Page

809

Comments

Preprint version is available here.

Recommended Citation

Bowman, D., & McLaughlin, J. (2006). The Convergence and Divergence of q-Continued Fractions outside the Unit Circle. Rocky Mountain Journal of Mathematics, 36(3), 799-809. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/65