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Properties of k-Fibonacci and k-Lucas octonions

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  • A. D. Godase

    (V. P. College Vaijapur)

Abstract

We investigate some binomial and congruence properties for the k-Fibonacci and k-Lucas hyperbolic octonions. In addition, we present several well-known identities such as Catalan’s, Cassini’s and d’Ocagne’s identities for k-Fibonacci and k-Lucas hyperbolic octonions.

Suggested Citation

  • A. D. Godase, 2019. "Properties of k-Fibonacci and k-Lucas octonions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 979-998, December.
    • Handle: RePEc:spr:indpam:v:50:y:2019:i:4:d:10.1007_s13226-019-0368-x
    DOI: 10.1007/s13226-019-0368-x
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    References listed on IDEAS

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    1. Falcón, Sergio & Plaza, Ángel, 2009. "On k-Fibonacci sequences and polynomials and their derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1005-1019.
    2. Falcón, Sergio & Plaza, Ángel, 2007. "On the Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1615-1624.
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    Cited by:

    1. Engin Özkan & Mine Uysal & A. D. Godase, 2022. "Hyperbolic $$\pmb k$$ k -Jacobsthal and $$\pmb k$$ k -Jacobsthal-Lucas Quaternions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 956-967, December.

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