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Prasad, Kalika, Kumari, Munesh, Kızılateş, Can. (1403). Some properties and identities of hyperbolic generalized k-Horadam quaternions and octonions. , 9(4), 707-724. doi: 10.22049/cco.2023.28272.1495
Kalika Prasad; Munesh Kumari; Can Kızılateş. "Some properties and identities of hyperbolic generalized k-Horadam quaternions and octonions". , 9, 4, 1403, 707-724. doi: 10.22049/cco.2023.28272.1495
Prasad, Kalika, Kumari, Munesh, Kızılateş, Can. (1403). 'Some properties and identities of hyperbolic generalized k-Horadam quaternions and octonions', , 9(4), pp. 707-724. doi: 10.22049/cco.2023.28272.1495
Prasad, Kalika, Kumari, Munesh, Kızılateş, Can. Some properties and identities of hyperbolic generalized k-Horadam quaternions and octonions. , 1403; 9(4): 707-724. doi: 10.22049/cco.2023.28272.1495

Some properties and identities of hyperbolic generalized k-Horadam quaternions and octonions

Communications in Combinatorics and Optimization
مقاله 7، دوره 9، شماره 4، اسفند 2024، صفحه 707-724    اصل مقاله (444.23 K)
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2023.28272.1495
نویسندگان
Kalika Prasad1؛ Munesh Kumari* 1؛ Can Kızılateş2
1Department of Mathematics, Central University of Jharkhand, 835205, India
2Department of Mathematics, Zonguldak Bülent Ecevit University, 67100, Turkey
چکیده
The aim of this paper is to introduce the hyperbolic generalized $k$-Horadam 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.
کلیدواژه‌ها
Horadam number؛ Hyperbolic quaternions and octonions؛ Binet formula؛ Generating Function؛ Chebyshev polynomials
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