SPLIT (s, t)−LUCAS QUATERNIONS

Year 2024, Volume: 7 Issue: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 1 - 9, 29.12.2024

Hamza Menken , Durdane Tekin

https://doi.org/10.33773/jum.1549438

Abstract

In this paper, we introduce a new class of split (s,t)- Lucas quaternions that generalizes the split Lucas quaternions. Additionally, we derive Binet-like formulas, generating functions, binomial sums and Honsberger-like, d'Ocagne-like, Catalan's-like and Cassini's-like identities.

Keywords

Lucas numbers, quaternions, binomial sums, Binet formula.

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