Mathematical identities derived for hyperbolic k-fibonacci and k-lucas quaternions, highlighting their relationships.
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k-Fibonacci and k-Lucas numbers. These findings add valuable insight into the relationships between these quaternion sequences and offer valuable insights into their properties.
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A. D. Godase (2025) studied this question.
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