Some Properties and Identities of Hyperbolic Generalized k-Horadam Quaternions and Octonions
Kalika Prasad, Munesh Kumari, Can Kizilates
article (Uluslararası, Hakemli) | Yazar(lar): Kalika Prasad, Munesh Kumari, Can Kizilates | Yıl: 2024 | Dergi/Kurum: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | İndeks: WOS.ESCI | DOI: 10.22049/cco.2023.28272.1495 | Anahtar Kelimeler: Horadam number, Hyperbolic quaternions, Hyperbolic octonions, Binet Formula, C
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.