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Combinatorics of Continuants of Continued Fractions with 3 Limits
- Publication Year :
- 2020
-
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.<br />Comment: 31 pages, 2 figures
- Subjects :
- Mathematics - Combinatorics
05A19, 11B39, 40A15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2007.08499
- Document Type :
- Working Paper