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Some Properties and Identities of Hyperbolic Generalized k-Horadam Quaternions and Octonions | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 تیر 1402 اصل مقاله (444 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, India, 835205 | ||
| 2Department of Mathematics, Zonguldak Bulent 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 | ||
| مراجع | ||
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