We investigate the properties of $k-$Fibonacci and $k-$Lucas quaternions over the generalized quaternion algebra. After presenting generating functions and Binet's formulas for these types of quaternions, we calculate several well-known identities such as Catalan's, Cassini's and d'Ocagne's identities for $k-$Fibonacci and $k-$Lucas generalized quaternions.
Subjects | Engineering |
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Journal Section | Articles |
Authors | |
Publication Date | October 15, 2017 |
Submission Date | October 15, 2017 |
Acceptance Date | June 7, 2017 |
Published in Issue | Year 2017 Volume: 5 Issue: 2 |