Combinatorics of Continuants of Continued Fractions with 3 Limits
Combinatorics
2021-11-01 v3
Abstract
We give combinatorial descriptions of the terms occurring in continuants of general continued fractions that diverge to three limits. Equating these with the usual combinatorial descriptions due to Euler, Sylvester, and Minding induces nontrivial polynomial identities. Special cases and applications to counting sequences are given.
Keywords
Cite
@article{arxiv.2007.08499,
title = {Combinatorics of Continuants of Continued Fractions with 3 Limits},
author = {Douglas Bowman and Herman D. Schaumburg},
journal= {arXiv preprint arXiv:2007.08499},
year = {2021}
}
Comments
31 pages, 2 figures