On sequence-based closed form entries for an exponentiated general $2 \times 2$ matrix: A re-formulation and an application.
Journal article
Larcombe, Peter J. and Fennessey, Eric J. 2017. On sequence-based closed form entries for an exponentiated general $2 \times 2$ matrix: A re-formulation and an application. Bulletin of the Institute of Combinatorics and its Applications (ICA).
| Authors | Larcombe, Peter J. and Fennessey, Eric J. |
|---|---|
| Abstract | Closed form entries for an exponentiated (and arbitrary) 2 ⇥ 2 matrix are established here, and expressed in terms of a specialized Horadam sequence; two proofs of the result are given accordingly, along with examples and observations derived therefrom. The result o↵ers a new formulation of a general class of polynomial families associated with sequences whose ordinary generating functions are governed by quadratic equations. |
| Keywords | Sequences; Matrices; Horadam sequence |
| Year | 2017 |
| Journal | Bulletin of the Institute of Combinatorics and its Applications (ICA) |
| Publisher | The Institute of Combinatorics and its Applications |
| ISSN | 11831278 |
| Web address (URL) | http://hdl.handle.net/10545/622398 |
| hdl:10545/622398 | |
| Publication dates | Jan 2017 |
| Publication process dates | |
| Deposited | 21 Mar 2018, 10:26 |
| Contributors | University of Derby |
| File | File Access Level Open |
| File | File Access Level Open |
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