Geodesic
On Balancing and Lucas-balancing Quaternions
Communications in Mathematics, Tome 29 (2021) no. 3, pp. 325-341 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 11B37, 11B39, 20G20
Keywords: Recurrence relations; Balancing numbers; Lucas-balancing numbers; Quaternions 
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Patel, Bijan Kumar; Ray, Prasanta Kumar. On Balancing and Lucas-balancing Quaternions. Communications in Mathematics, Tome 29 (2021) no. 3, pp. 325-341. http://geodesic.mathdoc.fr/item/COMIM_2021_29_3_a0/

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