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.

Comments

Preprint version is available here.

Publication Title

Rocky Mountain Journal of Mathematics

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