LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES
In this paper, we give linearization of generalized Fi-bonacci sequences {$g_n$} and {$q_n$}, respectively, defined by Eq.(5) and Eq.(6) below and use this result to give the matrix form of the nth power of a companion matrix of {$g_n$} and {$q_n$}, respectively. Then we re-prove the Cassini's...
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| Veröffentlicht in: | Korean Journal of mathematics 2014, Vol.22 (3), p.443-454 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | kor |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we give linearization of generalized Fi-bonacci sequences {$g_n$} and {$q_n$}, respectively, defined by Eq.(5) and Eq.(6) below and use this result to give the matrix form of the nth power of a companion matrix of {$g_n$} and {$q_n$}, respectively. Then we re-prove the Cassini's identity for {$g_n$} and {$q_n$}, respectively. |
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| ISSN: | 1976-8605 2288-1433 |