On generalized Pentanacci quaternions

Soykan, Yüksel; Özmen, Nejla; Göcen, Melih

doi:10.32513/tbilisi/1608606056

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2024

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“…. More studies about the quaternions can be found in [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27].…”

Section: Introductionmentioning

confidence: 99%

On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions

Dişkaya,

Menken

2024

Electronic Journal of Mathematical Analysis and Applications

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There are a lot of quaternion numbers that are related to the Fibonacci and Lucas numbers or their generalizations have been described and extensively explored. The coefficients of these quaternions have been chosen from terms of Fibonacci and Lucas numbers. In this study, we define two new quaternions that are pseudo-Fibonacci and pseudo-Lucas quaternions. Then, we give their Binet-like formulas, generating functions, certain binomial sums and Honsberg-like, d'Ocagne-like, Catalan-like and Cassini-like identities.2010 Mathematics Subject Classification. 11B39.

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