Abstract
The aim of this paper is to introduce the hyperbolic generalized kHoradam quaternions and octonions and investigate their algebraic properties. We present some properties and identities of these quaternions and octonions for generalized k-Horadam numbers. Moreover, we give some determinants related to the hyperbolic generalized k-Horadam quaternions and octonions. Finally, we evaluate its determinants through the Chebyshev polynomials of the second kind and give an illustrative example as well.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.ESCI
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Language
English
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Article Type
None
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Keywords
Horadam number Hyperbolic quaternions Hyperbolic octonions Binet Formula Catalan Identity Generating Function Chebyshev polynomials Determinant