Hyperbolic $$\pmb k$$ k -Jacobsthal and $$\pmb k$$ k -Jacobsthal-Lucas Quaternions

Engin Özkan (), Mine Uysal () and A. D. Godase ()
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Engin Özkan: Erzincan Binali Yıldırım University
Mine Uysal: Erzincan Binali Yıldırım University
A. D. Godase: V. P. College Vaijapur

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 4, 956-967

Abstract: Abstract In this paper, we introduce the hyperbolic $$k-$$ k - Jacobsthal and $$k-$$ k - Jacobsthal-Lucas quaternions. We present generating functions, Binet formula, Catalan’s identity, Vajda’s identity etc. for the hyperbolic k-Jacobsthal and $$k-$$ k - Jacobsthal-Lucas quaternions.

Keywords: Hyperbolic $$k-$$ k - Jacobsthal quaternions; Hyperbolic $$k-$$ k - Jacobsthal-Lucas quaternions; Binet formula; Cassini identity; Catalan identity (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00202-9

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