On Balancing and Lucas-balancing Quaternions

On Balancing and Lucas-balancing Quaternions

The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet’s formulas, summation formulas, Catalan’s identity, etc. concern...

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Veröffentlicht in:Communications in Mathematics 2021-12, Vol.29 (3), p.325-341
Hauptverfasser: Patel, Bijan Kumar, Ray, Prasanta Kumar
Format: Artikel
Sprache:eng
Schlagworte:
11B37
11B39
20G20
Balancing numbers
Lucas-balancing numbers
Mathematics
Quaternions
Recurrence relations
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Beschreibung
Zusammenfassung:The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet’s formulas, summation formulas, Catalan’s identity, etc. concerning these quaternions are also established.
ISSN:2336-1298
1804-1388
2336-1298
DOI:10.2478/cm-2021-0010