Continued Fractions and Generalizations with Many Limits: A Survey
Number Theory
2019-01-07 v1
Abstract
There are infinite processes (matrix products, continued fractions, -matrix continued fractions, recurrence sequences) which, under certain circumstances, do not converge but instead diverge in a very predictable way. We give a survey of results in this area, focusing on recent results of the authors.
Cite
@article{arxiv.1901.01158,
title = {Continued Fractions and Generalizations with Many Limits: A Survey},
author = {Douglas Bowman and James Mc Laughlin},
journal= {arXiv preprint arXiv:1901.01158},
year = {2019}
}
Comments
20 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:0709.1909, arXiv:math/0403027