Bijan Kumar Patel ; Prasanta Kumar Ray - On Balancing and Lucas-balancing Quaternions

cm:9529 - Communications in Mathematics, December 23, 2021, Volume 29 (2021), Issue 3 - https://doi.org/10.2478/cm-2021-0010
On Balancing and Lucas-balancing Quaternions

Authors: Bijan Kumar Patel ; Prasanta Kumar Ray

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.


Volume: Volume 29 (2021), Issue 3
Published on: December 23, 2021
Imported on: May 11, 2022
Keywords: General Mathematics,[MATH]Mathematics [math]


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