SPLIT (s, t)−LUCAS QUATERNIONS

Authors : Hamza Menken, Durdane Tekin

Pages : 1-9

Doi:10.33773/jum.1549438

View : 79 | Download : 124

Publication Date : 2024-12-29

Article Type : Research Paper

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.