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Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions

Author

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  • Ayşe Zeynep Azak

    (Faculty of Education, Mathematics and Science Education Department, Sakarya University, Sakarya 54300, Turkey)

Abstract

We have investigated new Pauli Fibonacci and Pauli Lucas quaternions by taking the components of these quaternions as Gaussian Fibonacci and Gaussian Lucas numbers, respectively. We have calculated some basic identities for these quaternions. Later, the generating functions and Binet formulas are obtained for Pauli Gaussian Fibonacci and Pauli Gaussian Lucas quaternions. Furthermore, Honsberger’s identity, Catalan’s and Cassini’s identities have been given for Pauli Gaussian Fibonacci quaternions.

Suggested Citation

  • Ayşe Zeynep Azak, 2022. "Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions," Mathematics, MDPI, vol. 10(24), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4655-:d:997688
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    References listed on IDEAS

    as
    1. Halici, Serpil & Karataş, Adnan, 2017. "On a generalization for fibonacci quaternions," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 178-182.
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