Higher-Order Jacobsthal–Lucas Quaternions
Copyright policy )Higher-Order Jacobsthal–Lucas Quaternions
In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties. We give Binet’s formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, and exponential generating functions of the higher-order Jacobsthal–Lucas quaternions. We also give some relations between higher-order Jacobsthal and Jacobsthal–Lucas quaternions.
- Erzincan Binali Yıldırım University Turkey
- Erzincan University Turkey
Jacobsthal–Lucas quaternions, QA1-939, Jacobsthal–Lucas quaternions; higher-order Jacobsthal–Lucas quaternions; Binet formula, Binet formula, higher-order Jacobsthal–Lucas quaternions, Mathematics
Jacobsthal–Lucas quaternions, QA1-939, Jacobsthal–Lucas quaternions; higher-order Jacobsthal–Lucas quaternions; Binet formula, Binet formula, higher-order Jacobsthal–Lucas quaternions, Mathematics
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