On the Fibonacci quaternion sequence with quadruple-produce components
This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given. Along with these, its series and binomial sum formula are established.
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| Veröffentlicht in: | Acta et commentationes Universitatis Tartuensis de mathematica 2021-08, Vol.25 (1), p.157-170 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given. Along with these, its series and binomial sum formula are established. |
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| ISSN: | 1406-2283 2228-4699 |
| DOI: | 10.12697/ACUTM.2021.25.11 |