2 citations · 5 across the 5 of their papers we have counts for
5 papers
Continued Fractions and Generalizations with Many Limits: A Survey
Douglas Bowman, James Mc Laughlin
There are infinite processes (matrix products, continued fractions, -matrix continued fractions, recurrence sequences) which, under certain circumstances, do not converge bu…
The Convergence Behavior of -Continued Fractions on the Unit Circle
Douglas Bowman, James Mc Laughlin
In a previous paper, we showed the existence of an uncountable set of points on the unit circle at which the Rogers-Ramanujan continued fraction does not converge to a finite value…
The Convergence and Divergence of -Continued Fractions outside the Unit Circle
Douglas Bowman, James Mc Laughlin
We consider two classes of -continued fraction whose odd and even parts are limit 1-periodic for , and give theorems which guarantee the convergence of the continued frac…
A Theorem on Divergence in the General Sense for Continued Fractions
Douglas Bowman, James Mc Laughlin
If the odd and even parts of a continued fraction converge to different values, the continued fraction may or may not converge in the general sense. We prove a theorem which settle…
On the Divergence in the General Sense of -Continued Fraction on the Unit Circle
Douglas Bowman, James Mc Laughlin
We show, for each -continued fraction in a certain class of continued fractions, that there is an uncountable set of points on the unit circle at which diverges in…