#### Document Type

Article

#### Publication Date

2003

#### Abstract

We show, for each q-continued fraction G(q) in a certain class of continued fractions, that there is an uncountable set of points on the unit circle at which G(q) diverges in the general sense. This class includes the Rogers-Ramanujan continued fraction and the three Ramanujan-Selberg continued fraction. We discuss the implications of our theorems for the general convergence of other q-continued fractions, for example the G¨ollnitz-Gordon continued fraction, on the unit circle.

#### Publication Title

Communications in the Analytic Theory of Continued Fractions

#### Publisher

Colorado Mesa University

#### Volume

11

#### First Page

25

#### Last Page

49

#### Recommended Citation

Bowman, D.,
&
McLaughlin, J.
(2003).
On The Divergence in the General Sense of q-Continued Fractions on the Unit Circle.
*Communications in the Analytic Theory of Continued Fractions, 11*, 25-49.
Retrieved from https://digitalcommons.wcupa.edu/math_facpub/42

## Comments

Preprint version is available here.