On the characterization of periodic complex Horadam sequences
Journal article
Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the characterization of periodic complex Horadam sequences. Fibonacci Quarterly.
| Authors | Bagdasar, Ovidiu and Larcombe, Peter J. |
|---|---|
| Abstract | Horadam sequences are second-order linear recurrence sequences which depend on a family of four parameters (two in the defining recursion itself, and two initial values). In this article we find necessary and sufficient conditions for the periodicity of complex Horadam sequences, under general initial values, characterizing sequence behavior for degenerate and non-degenerate characteristic solution types. Inner and outer boundaries for regions containing periodic orbits are also determined. |
| Keywords | Recurrent sequences; Fibonacci numbers; Periodic sequences |
| Year | 2013 |
| Journal | Fibonacci Quarterly |
| Publisher | Fibonacci Association |
| ISSN | 0015-0517 |
| Web address (URL) | http://hdl.handle.net/10545/620939 |
| http://creativecommons.org/licenses/by/4.0/ | |
| hdl:10545/620939 | |
| Publication dates | 01 Feb 2013 |
| Publication process dates | |
| Deposited | 21 Nov 2016, 16:07 |
| Contributors | University of Derby |
| File | File Access Level Open |
| File | File Access Level Open |
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