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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/128892026-10-18T20:36:51Zopenairedrivercom_ebyu_10000col_ebyu_10001

Higher-Order Jacobsthal–Lucas QuaternionsUysal, MineÖzkan, EnginBinet formulahigher-order Jacobsthal–Lucas quaternionsJacobsthal–Lucas quaternionsIn 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. © 2022 by the authors.MDPI2022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12889https://doi.org/10.3390/axioms111206712075-1680enAxiomsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12889